Question

4.
Write the equation of the line, in slope-intercept form, that goes through the point ( 10, 6 ) and is perpendicular to the line: y = ( - 5 / 4 ) x + 1.

Answer 1

Answer: $\boxed{y=\frac{4}{5}x-2}$

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.

Substituting into point-slope form,

$y-6=\frac{4}{5}(x-10)\\\\y-6=\frac{4}{5}x-8\\\\\boxed{y=\frac{4}{5}x-2}$