Linear equations

Question

Find the equation in terms of X of the line through the points (-3, -3) and (3,4)

Answer 1

Can also use slope-intercept form;

slope = rise/run = (4 - (-3))/(3 - (-3)) = 7/6

y = mx + b. Use slope m = 7/6 and one of the two points to find b:

4 = (7/6)(3) + b

4 = 7/2 + b; b = 1/2

y = (7/6)x + 1/2

You can check it on the Desmos Graphing Calculator website.

Answer 2

Use two-point form:

(y + 3) / (x + 3) = (4 + 3) / (3 + 3)