What is the value of y for the line that has a slope of -3/2 and passes through the points (3,5) and (7,y)?

Question

The given choices are (A) -11, (B) -10, (C) -1, and (D) 209.

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the value of y from the given information. Then, we must use the slope formula such that

(y2 - y1) / (x2 - x1) = m...............Now we plug in all values in their spots such that

(y - 5) / (7 - 3) = -3/2

y - 5 / 4 = -3/2...............We then cross multiply to obtain

2(y-5) = 4(-3)...........Then distribute the 2 inside via multiplication such that

2y -10 = -12..............Then add 10 to both sides such that

2y = -2..............Finally, divide 2 such that

y = -1

I hope this helped!

Answer 2