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Rus_ich [418]
3 years ago
15

I need help solving this problem.

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

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


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