Answer:
the equaion of the new line is y = -2x + 13
Step-by-step explanation:
The slope of this line is 1/2. Recall that if we are given such a slope and want the slope of a line perpendicular to the given line, we find the negative reciprocal of the slope of the given line. Here, given m = 1/2, the slope of any line perpendicular to the given line is m = -2.
Now insert this info into the standard slope-intercept equation of a line:
y = mx + b becomes 5 = (-2)(4) + b. Solve this for b:
5 + 8 = b = 13.
Thus, the equaion of the new line is y = -2x + 13.
