Question

A line has a slope of 1 and includes the points (-9, w) and (5, 9). What is the value of w?

Can someone please help me I’m pretty sure I’m being timed on this.
Thank you!

Answer 1

To find the value of w, you can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

In this case, (x1, y1) = (-9, w) and (x2, y2) = (5, 9). Plugging these values into the formula gives:

slope = (9 - w) / (5 - (-9))

Simplifying this expression gives:

slope = (9 - w) / 14

Since the slope is 1, we can set this expression equal to 1 and solve for w:

1 = (9 - w) / 14

14 = 9 - w

w = 9 - 14

w = -5

Therefore, the value of w is -5.