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

y = ⅔x - 2

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

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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

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