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Slopes and Intercepts

1. The x-coordinate of (-5,3)

2. The slope through the points (-2,5),(6,-3)

3. The y- intercept of 3x +7y =21
4. The slope of -10x-5y=0
5. The y-coordinate of (7,-6)
6. The x- intercept of -6x+6y=-6
7. Evaluate the function f(x)=3x-7forx=4
8. The slope through (8,6),(-4,0)
9. The y-intercept of y = 1/2x
10. The slope of x- 3y=15

Solution Preview

1. The x-coordinate of (-5,3)

Normally, we write a point with x-coordinate x and y-coordinate y as (x,y). So, The x-coordinate of (-5,3) is -5

2. The slope through the points (-2,5),(6,-3)

Use a formula k=(y2-y1)/(X2-X1), WE GET The slope through the points (-2,5),(6,-3) as follows.
k=(y2-y1)/(X2-X1)
=(-3-5)/(6-(-2))
=(-8)/8=-1

3. The y- intercept of ...

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