y=mx
In y=mx, what variable represents slope?
m
What point does a line with a y-intercept of 3 pass through?
(0,3)
Slope is the same as finding these two things:
Constant of Proportionality and Unit Rate
What is another name for the equation y=mx+b?
Slope-intercept form
Rewrite: -3x+3y=12
y=x+4
In y=mx, what variable represents y-intercept?
None of them
What is the y-intercept of a graph passing through the point (0,4)?
4
What is the slope of a proportional line that passes through the point (5,3)?
5/3
If a linear equation has a slope of 3 and a y-intercpet of 2, how would you write this in slope-intercept form?
y=3x+2
Rewrite y+x+x+2y=15.
y=-2/3x+5
What is y=mx
The graph of a proportional relationship
What is y-intercept?
The y-coordinate of the point where the line crosses the y-axis
What is the slope of a line passing through (1,2) and (3,6)?
4/3
Write y=mx+b in words.
y-coordinate equals slope times x-coordinate plus y-intercept
Why would you rewrite a linear equation?
To make it easier to graph
Write y=mx in words.
y-coordinate equals slope times x-coordinate
What is the y-intercept of a proportional line?
0
True or false: If a graph has 1 labeled on it, you can ALWAYS look at the y-coordinate and that is your slope.
False
You can only do this if the line is proportional.
What is the equation of a line passing through (2,4), (3,7), and has a y-intercept of 2?
y=3x+2
Rewrite: -2(3(x+y))=24
y=-x-4
What is the parent function of y=mx?
y=x
What is the slope of a proportional line that passes through the point (0,2)?
This line cannot exist, so there is no slope.
What is the slope of a line that passes through the point (2,3) and has a y-intercept of 1?
1
What is the slope-intercept form of a line that passes through the points (0,2) and (-1,3)?
y=-x+2
What are the steps to rewriting an equation from standard form to slope-intercept form?
1. Subtract the x term on the left side from both sides.
2. Divide both sides by the coefficient of the y term.