# Slope Slope Intercept Point Slope

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 Author: randycapped ID: 263387 Filename: Slope Slope Intercept Point Slope Updated: 2014-02-23 21:13:55 Tags: Algebra Folders: Description: Slope Show Answers:

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1. Slope Intercept Form:
y = mx + b

• m is slope
• b is "y intercept"
2. Point Slope Formula:
3. Slope Formula:
4. 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.
5. When only one pair of points are given, how do you determine the slope?
rise over run. just put y above x.
6. When you have a slope of -12.50 over 10, what would you simply this to?
-1.25
7. 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.
8. Standard Form of an Equation
Ax + By = C

(Where A and B are not both zero)
9. What are the x and y intercepts for:
-4x = 6y
(0,0) and (0,0)

This because you're inserting 0 on each side.
10. 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.
11. 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.
12. Figure out the y intercept and slope for:

y = -2x
Slope would be -2 and the y intercept is (0,0)
13. 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.
14. 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
15. Formula for a horizontal line:
y = k

where k is a constant

because this includes all of the "x" numbers.
16. Formula for a vertical line:
x = k

where k is a constant

(because this includes all of the "y" numbers)
17. x = k is a ___________ line.
vertical
18. y = k is a ___________ line.
horizontal

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