Answer:
y=-2x-7
Step-by-step explanation:
lines are typically written in y=mx+b form, where m is the slope and b is the y intercept
we are given the line y=1/2x-4
perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1
so to find the slope of the new line, use this formula:
1/2m=-1
multiply by 2
m=-2
so the slope is -2
here's the equation so far, written in y=mx+b form
y=-2x+b
we need to find b
because the line passes through the point (-4,1), we can use it to solve for b
substiute -4 as x and 1 as y
1=-2(-4)+b
1=8+b
-7=b
so b is -7
therefore the line is:
y=-2x-7
Hope this helps! :D
