Question

If a line passes through (-2,2) and (6,Y) with a slope of 4, what is the value of Y? Show the steps to solve.

a) 10
b) 14
c) 18
d) 22

Answer 1

Using the slope formula with the given slope of 4 and the points (-2,2) and (6,Y), we find that Y equals 34, which is not one of the provided options in the question.

Step-by-step explanation:

To find the value of Y, we need to use the given points (-2,2) and (6,Y) along with the slope of 4 to form the slope formula:

Slope (m) = (Y2 - Y1) / (X2 - X1)

We are given that m=4, so we can substitute the known values to solve for Y:

4 = (Y - 2) / (6 - (-2))

4 = (Y - 2) / 8

After cross-multiplication, we have:

32 = Y - 2

Finally, adding 2 on both sides, we get:

Y = 34

Therefore, the value of Y is 34, which is not listed in the options a) 10, b) 14, c) 18, or d) 22. Hence, it appears that there might be an error in the question or the answer options.