Answer:
18
y=14x+334 or
y=0.25x+8.25 or
4y=x+33
Step-by-step explanation:
.
y−3=−4(x+2)
Let's get this equation into the standard slope-intercept form of:
y=mx+b where m is the slope and b is the y-intercept.
y=−4(x+2)+3
y=−4x−8+3
y=−4x−5
Let's call the slope of this line m1 and the slope of the line perpendicular to it m2 .
m1=−4
In order for the other line to be perpendicular to this one we have to have:
m1m2=−1
−4m2=−1
m2=−1−4=14
Now, we cam write the equation of the perpendicular line:
y=14x+b
We can now use the coordinates of the point this line goes through to find b:
7=14(−5)+b
7=−54