Question

Use point slope form to write the equation of a line slope intercept form that passes through the points 0,-5 and -3,4

Answer 1

y + 5 = -3(x - 0)

Explanation:

First, you find the slope. To do that, you subtract the second y point (in this case 4) by the first y point (in this case -5), and you get 9. Then, you subtract the second x point (in this case -3) by the first x point (in this case 0), and you get -3. Y is over X, so you get 9/-3 or 9 over -3, which can simplify to -3.

Next, you use the point slope formula: y - y1 = m(x - x1). Add in the y1, m, and x1, then solve if it asks you to put it in slope intercept form. So, for this case, it would be y + 5 = -3(x - 0)

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