Answer:
[tex]y=3x-4[/tex]
Step-by-step explanation:
To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. Use (-3,-1) and (2,2) in the formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{2--1}{2--3} =\frac{2+1}{-2+3} =3[/tex]
Since m = 3, substitute its value and the point (2,2) into the point slope form. Then simplify.
[tex]y-y_1 = m(x-x_1)\\y-2 = 3 (x-2)\\y-2=3x-6\\y=3x-4[/tex]
