Question

Write the equation of a line that is perpendicular to y=-2/7x+9 and that passes through the point (4,-6)

Answer 1

y = 7/2x - 20

Explanation:

The slope of a perpendicular line is the opposite reciprocal of the original slope.

-2/7 -> 7/2

Find the new y-intercept.

y = 7/2x + b

-6 = 7/2(4) + b

-6 = 14 + b

-20 = b

y = 7/2x - 20

Best of Luck!