Question

Write the slope-intercept form of the equation of the line described.

Answer 1

The equation for a line is y=mx+b

m is the slope, so when a line is perpendicular to another line is has a slope which is an opposite reciprocal, so change the -1/2 (the slope of the other line) to 2/1 or just 2

so m=2

now you need to plug in the point they give you for x and y 

y=mx+b
4=2(4) + b
simplify
4=8 + b
subtract 8 over
-4 = b 

now that you know that slope (m) and the y-intercept (b) you can plug those two numbers into the original equation for the answer

y= 2x -4