Answer:
(C)[tex]y_2=m(x_2-x_1)+y_1[/tex]
Step-by-step explanation:
The slope, m, of a linear equation can be found using the formula
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We want to solve for [tex]y_2[/tex].
First, we cross multiply,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\y_2-y_1=m(x_2-x_1)\\$Add y_1$ to both sides\\y_2=m(x_2-x_1)+y_1[/tex]
The correct option is C.