Which of the following are point-slope equations of the line going through (3, 6) and (1, -2)? Check all that apply. A. y - 6 = (x - 3) B. y - 6 = (x + 3) C. y - 2 = 4(x + 1) D. y + 2 = 4(x - 1) E. y - 2 = (x - 1) F. y - 6 = 4(x - 3)

Question

Which of the following are point-slope equations of the line going through (3, 6) and (1, -2)?   Check all that apply.   		A.	y - 6 = (x - 3)  		B.	y - 6 = (x + 3)  		C.	y - 2 = 4(x + 1)  		D.	y + 2 = 4(x - 1)  		E.	y - 2 = (x - 1)  		F.	y - 6 = 4(x - 3)

jdoe0001 · Answer

first off... find the slope of the line that passes through those 2 points... .so $\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 6}})\quad &({\color{red}{ 1}}\quad ,&{\color{blue}{ -2}})
\end{array}
\\quad \

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}$

once you find that... you'd see which are the likely ones