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