## Linear Equations

##### Created by:

FoyAlgebra  on January 31, 2012

##### Description:

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

Foy Algebra

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# Linear Equations

 Que te gusts hacer?y - y1 = m(x - x1)
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#### Definitions

Que te gusts hacer? 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?
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
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
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)

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