Question

What is the equation of a line passing through (-3, 7) and having a slope of -1/5 ? A. y = -5x + 22 B. y = 5x + 22 C. y=1/5x+32/5 D. y=-1/5x+32/5 E. y=-1/5x+22

Answer 1

D. y = -1/5x +32/5

Explanation:

The equation of the line passing through point (h, k) with slope m can be written ...

y = m(x -h) +k

Filling in your given values, the equation is ...

y = -1/5(x -(-3)) +7

y = -1/5x -3/5 +7 . . . . eliminate parentheses

y = -1/5x +32/5 . . . . . combine constants