Question

Line l is perpendicular to the graph of the equation 2x-5y=10 and contains the point (-4,—3)

Answer 1

Answer : Line I is y= -5/2x - 13
It is written down and boxed in the attachment below .

Answer 2

5x +2y = -26

Explanation:

When you are given the equation of a line in standard form, you can immediately write most of the equation for the perpendicular line. It uses the same coefficients, but swapped, with one of them negated. The constant will be chosen to make the line pass through the given point.

Perpendicular line:

5x +2y = constant

5x +2y = 5(-4) +2(-3) = -20 -6

5x +2y = -26 . . . . . perpendicular line through (-4, -3)