Question

In the city of Marble Springs, Main Street intersects some of the other avenues in town. On a coordinate grid, Main Street passes through the points (-2,17) and (-22,33). Grimes Boulevard, a street that is perpendicular to Main Street, passes through the point (80,9). Write the equation of the line that represents Grimes Boulevard in slope intercept form. NO DECIMALS in your final answer and all fractions must be simplified.

Answer 1

slope of main street = (33-17)/(-22+2) = -4/5
so slope of Grimes Blvd = +5/4

y - 9 = (5/4)(x-80)
y = (5/4)x - 100+ 9
y = (5/4)x - 91