10. Write an equation of the line that passes through (-2, 3) and has a slope of m = -3

A) (y - 2) = -3(x + 3)
B) (y - 3) = -3(x + 2)
C) (y + 3) = -2(x + 2)

point-slope form for a line:

(y - y1) = m(x - x1)

for the point (- 2, 3) with a slope m = - 3...

(y - 3) = - 3(x + 2)

id est

Because of the -3 slope, the only possibilities are A and B.

To pass through point (-2, 3), the equation must be true for those x and y values.

Since 3 - 3 is zero and -2 + 2 is zero, both sides will be zero for answer B.