21 terms

Slope, parallel lines, perpendicular lines, slope-intercept form, point-slope form, standard form

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y - y1 = m(x - x1)

What is the formula for slope-intercept form?

y = mx + b

What is the formula for point-slope form?

y -y1 = m(x-x1)

How would you write the equation of a line in slope-intercept form if you are given two points on the line and neither of them is the y-intercept?

You could write an equation in slope-intercept form and then convert to point-slope form.

What does "m" represent?

Slope

What does "b" represent?

The y-intercept

When a line on a graph is horizontal, is it intercepting the y or the x axis?

It's intercepting the y axis.

When a line on a graph is vertical, is it intercepting the y or the x axis?

It is intercepting the x axis.

When it has two given points, what

formula should you use?

formula should you use?

The point-slope formula.

When you are given the slope and the y intercept of a line, what formula should you use?

Slope intercept form.

If you are given two points, how do you find the slope?

You use the slope formula. (y2 - y1 \ x2 - x1)

How do you change it from standard form to slope-intercept form?

ex) 4x - 5y = 1

-4x. -4x subtract 4 from both sides

-5y = -4x + 1

— — — divide everything by -5

-5 -5 -5

Answer: y = 4/5x - 1/5

-4x. -4x subtract 4 from both sides

-5y = -4x + 1

— — — divide everything by -5

-5 -5 -5

Answer: y = 4/5x - 1/5

How do you find the slope of a parallel line?

Its the same slope as the first line.

How do u find the slope of a perpendicular line?

The negative reciprocal of the first slope

How to you get to standard form using only two points?

Find the slope

Plug it into the point slope form

Convert to slope intercept form

Move x to the left side to the equation

Plug it into the point slope form

Convert to slope intercept form

Move x to the left side to the equation

How would you write the equation of a line given a table with two columns of numbers?

Read first column as x values and the second one as y values. Then turn them into points and solve from there

What is the slope of the line perpendicular to the equation y=16x-2?

-1/16

What is the slope of (6,4) and (2,3)?

1/4

What does x always equal on the y-axis?

Zero

What formula do you use to get to slope intercept form when you are given two points?

Point slope form

What are the 3 main steps to turning an equation of a line from point-slope form, to slope-intercept form, to standard form?

Start:

(Example)

point = ( 2 , 1 )

m = - 2

y - 1 = - 2 ( x - 2 )

1. Distribute:

y - 1 = - 2x + 4

2. Move y1 to the right side of the equation [Add y1 (1)]:

y = - 2x + 5

(checkpoint: slope-intercept form)

3. Move x1 to the left side of the equation [Add x1 (2x)]:

2x + y = 5

(finish: standard form)

(Example)

point = ( 2 , 1 )

m = - 2

y - 1 = - 2 ( x - 2 )

1. Distribute:

y - 1 = - 2x + 4

2. Move y1 to the right side of the equation [Add y1 (1)]:

y = - 2x + 5

(checkpoint: slope-intercept form)

3. Move x1 to the left side of the equation [Add x1 (2x)]:

2x + y = 5

(finish: standard form)