Answer:
y = 5x + 17 (Answer B)
Step-by-step explanation:
We are given in point slope form the equation of a line: y - 3 = (-1/5)(x + 2). Directly from this equation we can find the slope: -1/5.
The slope of any line perpendicular to the given line is the negative reciprocal of the slope of the given line: Here it is +5.
Using the slope-intercept formula y = mx + b, we replace y with 7, x with -2 and m with 5, obtaining:
7 = 5(-2) + b, which simplifies to 7 = -10 + b. Thus, b = 17.
The desired equation is thus y = 5x + 17 (Answer B)
