Geometry question slope intercept form will give 20 points and brainilest if answered correctly write an equation in slope-intercept form for each line described perpendicular to the line with the equation y=2x+3, that contains the point a (4,-8)

Okay so a perpendicular line has a slope of the opposite reciprocal so for example in this equation the slope is 2 so the slope of a perpendicular equation would be -1/2 now since you know that you can put that in the slope intercept equation
Now you have y=-1/2x+b and since you have a point (point A) you can plug it in and solve for b
-8=-1/2(4)+b
-8=-2+b
b=-6
Now you have both parts simply put it in and you have the equation
y=-1/2x-6
I also attached the image with both to prove they are perpendicular