Question

NEED ANSWER FAST PLEASEE

Answer 1

Answer: $y=2x+7$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

Given the equation:

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

You can identify that:

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

Since the slopes of perpendicular lines are negative reciprocals, the slope of the line perpendicular to  $y=-\frac{1}{2}x-4$ must be:

$m=2$

Substitute the slope and the coordinates of the given point into $y=mx+b$ and solve for "b":

$3=(2)(-2)+b\\\\3+4=b\\\\b=7$

Therefore, the equation of that line is:

$y=2x+7$