Question

A line contains the point (4, 5) and is perpendicular to a line with a slope of . Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form.

Answer 1

Answer:

See example below.

Step-by-step explanation:

This question does not state the slope. But here is an example with the same point (4,5). Perpendicular lines have negative reciprocal slopes. If the slope of one line is -8, its perpendicular line will have the slope of 1/8.

Substitute m = 1/8 and (4, 5) into the point slope form of a line.

$y - y_1 = m(x-x_1)\\y - 5 = \frac{1}{8}(x -4)\\y - 5 = \frac{1}{8}x +\frac{1}{2}\\ y = \frac{1}{8}x \frac{11}{2}$