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Slope Intercept Form:
y = mx + b
- m is slope
- b is "y intercept"
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When x=7 and nothing is given for y, how do you graph the line?
Plot at (7,0)(x-intercept) and draw a vertical line since y is not defined.
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When only one pair of points are given, how do you determine the slope?
rise over run. just put y above x.
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When you have a slope of -12.50 over 10, what would you simply this to?
-1.25
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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.
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Standard Form of an Equation
Ax + By = C
(Where A and B are not both zero)
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What are the x and y intercepts for:
-4x = 6y
(0,0) and (0,0)
This because you're inserting 0 on each side.
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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.
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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.
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Figure out the y intercept and slope for:
y = -2x
Slope would be -2 and the y intercept is (0,0)
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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.
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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
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Formula for a horizontal line:
y = k
where k is a constant
because this includes all of the "x" numbers.
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Formula for a vertical line:
x = k
where k is a constant
(because this includes all of the "y" numbers)
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x = k is a ___________ line.
vertical
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y = k is a ___________ line.
horizontal
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