Question

BEST ANSWER GETS A MEDAL!!!!!

Eva draws a line that includes the points (2,0) and (-2, 2). Which function give all the points (X, Y) on this line?

A. X= -2x + 1

B. Y= 2X - 1

C. Y= 1/2 X - 1

D. Y= 1/2X = 1

Answer 1

find the slope of the line, then using either of the given points
use it in the "point-slope form", plug the slope you found and the point you chose in it
then solve for "y" that is \(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 2}}\quad ,&{\color{blue}{ 0}})\quad &({\color{red}{ -2}}\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}}}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form} \)