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Slope Intercept Form:
y = mx + b
 m is slope
 b is "y intercept"



When x=7 and nothing is given for y, how do you graph the line?
Plot at (7,0)(xintercept) and draw a vertical line since y is not defined.

When only one pair of points are given, how do you determine the slope?
rise over run. just put y above x.

When you have a slope of 12.50 over 10, what would you simply this to?
1.25

A slope parallel to 0 is _____, while a slope perpendicular to 0 is _____.
 0 and horizontal
 undefined
Since a slope perpendicular to zero (a horizontal line) would be a vertical line. Which is undefined.

Standard Form of an Equation
Ax + By = C
(Where A and B are not both zero)

What are the x and y intercepts for:
4x = 6y
(0,0) and (0,0)
This because you're inserting 0 on each side.

What is the slope and y intercept of:
y = 8
 m = 0
 y intercept = (0, 8)
y=k; horizontal, no slope, x is zero when not given.

How is "y=x" a positive slope?
Because for every "y", the "x" matches. And when you use y = mx + b the slope is 1. So you can go "rise" and "run" by 1 or 1. You will get a 45 degree angle from left to right with the y intercept at 0.

Figure out the y intercept and slope for:
y = 2x
Slope would be 2 and the y intercept is (0,0)

Figure out the y intercept and slope for:
y = 2
Slope is zero. Y intercept is (0,2)
y = k is also applied here. Which equals a horizontal line. And they have no slope.

What's the difference between these equations:
y = 2x
y = 2
 When it's just y = 2, you know that x = zero so it's just a horizontal line. Which has no slope. The y intercept is (0, 2). No need to figure it out. It's given.
 When it's y = 2x, the slope is given as 2. The y intercept is (0,0) because it can be written in slope intercept form as y = 2x + 0

Formula for a horizontal line:
y = k
where k is a constant
because this includes all of the "x" numbers.

Formula for a vertical line:
x = k
where k is a constant
(because this includes all of the "y" numbers)

x = k is a ___________ line.
vertical

y = k is a ___________ line.
horizontal

