# Study sets matching "direct variation"

direct variation graph

origin

direct variation table

direct variation equation

a straight line that goes through the origin

the point (0,0)

the ratio y/x is the same for every pair of points

y=mx or y = kx

direct variation graph

a straight line that goes through the origin

origin

the point (0,0)

direct variation graph

origin

direct variation table

direct variation equation

a straight line that goes through the origin

the point (0,0)

the ratio y/x is the same for every pair of points

y=mx or y = kx

direct variation graph

a straight line that goes through the origin

origin

the point (0,0)

YES

NO

k = 1.5

NO

Is this a direct variation? YES or NO

Is this proportional? YES or NO

What is the constant of proportionality? (type k = ___)

Is there a direct variation? YES or NO

YES

Is this a direct variation? YES or NO

NO

Is this proportional? YES or NO

If y = 27 when x = 6, write the direct…

If x = 27 when y = 6, write the direct…

If y = 10 when x = 9, write the direct…

If x = 10 when y = 9, write the direct…

y = 4.5x; x = 10

y = 2/9x; x = 202.5

y = 10/9x; x = 8.1

y = 9/10x; x = 10

If y = 27 when x = 6, write the direct…

y = 4.5x; x = 10

If x = 27 when y = 6, write the direct…

y = 2/9x; x = 202.5

If y = 27 when x = 6, write the direct…

If x = 27 when y = 6, write the direct…

If y = 10 when x = 9, write the direct…

If x = 10 when y = 9, write the direct…

y = 4.5x; x = 10

y = 2/9x; x = 202.5

y = 10/9x; x = 8.1

y = 9/10x; x = 10

If y = 27 when x = 6, write the direct…

y = 4.5x; x = 10

If x = 27 when y = 6, write the direct…

y = 2/9x; x = 202.5

direct variation graph

origin

direct variation table

direct variation equation

a straight line that goes through the origin

the point (0,0)

the ratio y/x is the same for every pair of points

y=mx or y = kx

direct variation graph

a straight line that goes through the origin

origin

the point (0,0)

direct variation graph

origin

direct variation table

direct variation equation

a straight line that goes through the origin

the point (0,0)

the ratio y/x is the same for every pair of points

y=mx or y = kx

direct variation graph

a straight line that goes through the origin

origin

the point (0,0)

direct variation

constant of variation

parallel lines

perpendicular lines

A linear function defined by an equation of the form y = kx, w…

The constant k used with direct or inverse variation.

lines in the same plane that never intersect

lines that intersect to form right angles.

direct variation

A linear function defined by an equation of the form y = kx, w…

constant of variation

The constant k used with direct or inverse variation.

direct variation graph

origin

direct variation table

direct variation equation

a straight line that goes through the origin

the point (0,0)

the ratio y/x is the same for every pair of points

y=mx or y = kx

direct variation graph

a straight line that goes through the origin

origin

the point (0,0)

Direct Variation

Constant of Variation

Solving a Direct Variation Using an Equ…

Identifying Direct Variation

When two variable quantities have a constant ratio, then their…

The constant ratio between two variables quantities is called…

Two methods can be used to solve a direct variation: [1] use a…

If a linear function is a direct variation, then it MUST have…

Direct Variation

When two variable quantities have a constant ratio, then their…

Constant of Variation

The constant ratio between two variables quantities is called…

direct variation graph

origin

direct variation table

direct variation equation

a straight line that goes through the origin

the point (0,0)

the ratio y/x is the same for every pair of points

y=mx or y = kx

direct variation graph

a straight line that goes through the origin

origin

the point (0,0)

direct variation graph

origin

direct variation table

direct variation equation

a straight line that goes through the origin

the point (0,0)

the ratio y/x is the same for every pair of points

y=mx or y = kx

direct variation graph

a straight line that goes through the origin

origin

the point (0,0)

Yes - it passes through the origin

No - it does not pass through the origin

No - there is no constant. (y/x - 4/1,…

yes - there is a constant - 1.5. (y/x -…

Is this a direct variation?

Is this a direct variation?

Is this a direct variation?

Is this a direct variation?

Yes - it passes through the origin

Is this a direct variation?

No - it does not pass through the origin

Is this a direct variation?

Yes - it passes through the origin

No - it does not pass through the origin

No - there is no constant. (y/x - 4/1,…

yes - there is a constant - 1.5. (y/x -…

Is this a direct variation?

Is this a direct variation?

Is this a direct variation?

Is this a direct variation?

Yes - it passes through the origin

Is this a direct variation?

No - it does not pass through the origin

Is this a direct variation?

Yes - it passes through the origin

No - it does not pass through the origin

No - there is no constant. (y/x - 4/1,…

yes - there is a constant - 1.5. (y/x -…

Is this a direct variation?

Is this a direct variation?

Is this a direct variation?

Is this a direct variation?

Yes - it passes through the origin

Is this a direct variation?

No - it does not pass through the origin

Is this a direct variation?

y = 120

y = -0.8

y = 37.125

y = 4.8

If y = 8 when x = 3, find y when x = 45.

If y = -4 when x = 10, find y when x = 2.

If y = 27 when x = 8, find y when x = 11.

Find y when x = 12, if y = 2 when x = 5.

y = 120

If y = 8 when x = 3, find y when x = 45.

y = -0.8

If y = -4 when x = 10, find y when x = 2.

y = 120

y = -0.8

y = 37.125

y = 4.8

If y = 8 when x = 3, find y when x = 45.

If y = -4 when x = 10, find y when x = 2.

If y = 27 when x = 8, find y when x = 11.

Find y when x = 12, if y = 2 when x = 5.

y = 120

If y = 8 when x = 3, find y when x = 45.

y = -0.8

If y = -4 when x = 10, find y when x = 2.

Yes - it passes through the origin

No - it does not pass through the origin

No - there is no constant. (y/x - 4/1,…

yes - there is a constant - 1.5. (y/x -…

Is this a direct variation?

Is this a direct variation?

Is this a direct variation?

Is this a direct variation?

Yes - it passes through the origin

Is this a direct variation?

No - it does not pass through the origin

Is this a direct variation?

If y = 27 when x = 6, write the direct…

If x = 27 when y = 6, write the direct…

If y = 10 when x = 9, write the direct…

If x = 10 when y = 9, write the direct…

y = 4.5x; x = 10

y = 2/9x; x = 202.5

y = 10/9x; x = 8.1

y = 9/10x; x = 10

If y = 27 when x = 6, write the direct…

y = 4.5x; x = 10

If x = 27 when y = 6, write the direct…

y = 2/9x; x = 202.5

direct variation

direct variation example

direct variation example

direct variation example

means you have an equation that looks like this ... y=kx which sa…

y varies directly as x means ... y=kx

y doubles directly as x means ... y = 2x which says y = 2 times x

if Cathy's walking distance varies directly with the number of…

direct variation

means you have an equation that looks like this ... y=kx which sa…

direct variation example

y varies directly as x means ... y=kx

If y = 27 when x = 6, write the direct…

If x = 10 when y = 9, write the direct…

If y = -7 when x = -14, write the direc…

If x = -7 when y = -14, write the direc…

y = 4.5x; x = 10

y = 9/10x; x = 10

y = 0.5x; y = 10

y = 2x; y = 40

If y = 27 when x = 6, write the direct…

y = 4.5x; x = 10

If x = 10 when y = 9, write the direct…

y = 9/10x; x = 10

If y = 27 when x = 6, write the direct…

If x = 27 when y = 6, write the direct…

If y = 10 when x = 9, write the direct…

If x = 10 when y = 9, write the direct…

y = 4.5x; x = 10

y = 2/9x; x = 202.5

y = 10/9x; x = 8.1

y = 9/10x; x = 10

If y = 27 when x = 6, write the direct…

y = 4.5x; x = 10

If x = 27 when y = 6, write the direct…

y = 2/9x; x = 202.5