Question

I need help solving this problem.

Answer 1

Answer:

y = $\frac{1}{4}$ x - $\frac{9}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 38 is in this form with slope m = - 4

The line ST is perpendicular to line RS ( angles in a square are 90° )

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-4}$ = $\frac{1}{4}$

y = $\frac{1}{4}$ x + c ← is the partial equation

To find c substitute (2, - 4) into the partial equation

- 4 = $\frac{1}{2}$ + c ⇒ c = - 4 - $\frac{1}{2}$ = - $\frac{9}{2}$

y = $\frac{1}{4}$ x - $\frac{9}{2}$ ← equation of ST