Khan Academy Forms of Linear Equations Unit Review

y = 4x - 2

Write the equation of the line in slope-intercept form.

y = (-5/3)x + 4

Convert to slope intercept form: 5x + 3y = 12

y = (2/3)x - 12

Convert to slope intercept form: y + 6 = (2/3)(x -9)

(-2, 0)

Determine the x-intercept for y - 5 = -1(x + 3)

(0, 2)

Determine the y-intercept for y - 5 = -1(x + 3)

3x + y = 2

Find the equation of a line passing through the points (-3, 11) and (0, 2) in General Form.

-3

Find the gradient of a line passing through the points (-3, 11) and (0, 2)

undefined slope

a number over zero

variable used for y-intercept

b

x-intercept

the x-coordinate of a point where a graph crosses the x-axis

y-intercept

the y-coordinate of a point where a graph crosses the y-axis

variable used for slope

m

slope formula

m = (y₂- y₁) / (x₂- x₁)

Given an equation in standard form, this is how you find a y-intercept.

substitute zero in for x and solve for y

ordered pair

(x,y)

Given an equation in standard form, this is how you find an x-intercept.

substitute zero in for y and solve for x

Standard Form

Ax+By=C

Slope

The steepness of a line on a graph, equal to its vertical change divided by its horizontal change. Rise over run

0

What is the slope? y = 3

negative slope

up/left or down/right

positive slope

up/right or down/left

undefined

what is the slope of this line x=1/2

Given a line passes through (-4, -1) and (-2, 5), write the equation of the line in Point-Slope Form

y + 1 = 3(x + 4) or y - 5 = 3(x + 2)

Given that a line passes through (5, -2) and has a slope of -3, write the equation in Point-Slope Form.

y + 2 = -3 (x - 5)

(0,0)

y = 2x has a y-intercept of

Write 3x-4y=12 in Slope-Intercept Form

y = 3/4 x - 3

Given the point slope form of the equation: y -5 = 3(x+4), write the equation in Slope-Intercept Form

y = 3x + 17

Point-Slope Form

y-y₁=m(x-x₁)

Slope-Intercept Form

y=mx+b

zero slope

zero over a number