Question

A line passes through the points( -3,-4) and (6,2)

Answer 1

What are you asking? Slope? If so. You would do change in y over change in x. So subtract 2 and -4 to get positive 6, then subtract 6 and -3 to get positive 9. Your slope is either 1/3 if it’s increasing, or negative 1/3 if it’s decreasing.

Answer 2

y = ⅔x - 2

Step-by-step explanation:

We can solve for a linear equation of a line that passes through these two points by the elimination method and then substitute.

We simply write these two points in the form y = mx + c, where m is the gradient and c is the y-intercept (offset). So:

-4 = -3m + c

2 = 6m + c

____________ -

We can first eliminate c to solve for m and then substitute m back into either equation to solve for c. (See attached image for solving steps)

Then, we get:

m = ⅔

c = -2

so y = ⅔x - 2