Find the equation of the line with slope = -2 and passing through (-3,-9). write your equation in point-slope and slope-intercept forms.

Point-slope form:  (y + 9) = -2(x +3)

Slope-intercept form:  y = -2x - 15

Step-by-step explanation:

It is important to know the formula for both point-slope (y - y,) = m(x - x,) and slope-intercept form (y = mx +b).  In both cases 'm' represents the slope.  In the question, slope = -2 and the point (-3, -9) is given which is the (x, y) values.  We can first complete the point-slope form by plugging in the given values:  (y - (-9)) = -2(x- (-3)) this can then be simplified to:  (y + 9) = -2(x +3).  However, in order to complete the slope-intercept form, we need to fill in the m, x and y variables and solve for 'b':  -9 = -2(-3) + b or -9 = 6 + b, we then subtract 6 from both sides:  -9 - 6 = 6 - 6 + b to get -15 = b.  We then place our slope and y-intercept into the equation:  y = -2x - 15.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

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