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Algebra/Advanced Slope

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Question
CAN U HELP ME USING THIS AS EXAMPLE

1.y = -5x + ½

The slope of this line is ½

True
False

2.What is the slope of a line that with the points (2,4) and (4,-2)?

1
-1/3
3
-3

3.A line which contains these points: (-3,3) &
(-8,-2) would have a slope of _________?

(simplify your answer)

4.A line with a slope of m=4 could contain these points (1,6) & (-1,-2).

True
False


5.Find the x intercept of this equation:

2x + 3y = 12

(0,6)
(6,0)
(4,0)
(0,4)

6.What is the y-intercept of this equation:

y = 2x + 5

DO NOT WRITE AS AN ORDERED PAIR


7.The y-intercept of this equation: 8x + 4y = 24
is (6,0)

True
False

8. Find the slope of a line containing these points.

(5,-2) & (-3,2)  

Answer
1. the standard equation for a line is y=mx+b where m is the slope and b is the y-intercept.  so m = -5
2. slope = (y2-y1)/(x2-x1) = (-2-4)/(4-2) = -3
3. 1
4. (-2-6)/(-1-1) = 4
5. if y=0, x=6
6. look at question 1
7. if x=0, y=6
8. (2+2)/(-3-5) = -1/2

Algebra

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