Question

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Answer 1

Answer:

y = 2x + 10

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 = - $\frac{1}{2}$ x + 7 ← is in slope- intercept form

with slope m = - $\frac{1}{2}$

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

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{2} }$ = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute (- 2, 6) into the partial equation

6 = - 4 + c ⇒ c = 6 + 4 = 10

y = 2x + 10 ← equation of perpendicular line