Question

help!!

Answer 1

Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answer 2

@musicdramalife00

Answer 3

okay so you first find the slope

Answer 4

find one point and use y-y1=m(x-x1)

Answer 5

sooooo uh (300, 100) (150, 200) so (200-100 ) / (150-300) so 100/ -150 is your slope

Answer 6

then just simplify that and take y-100 = 100/-150 (x-300)

Answer 7

do you get it?

Answer 8

no i was trying to simplify it but i dont understand it

Answer 9

first pick 2 points in the line, notice (0, 300) and (450, 0)
those should work
\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 0}}\quad ,&{\color{blue}{ 300}})\quad &({\color{red}{ 450}}\quad ,&{\color{blue}{ 0}})
\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-y_1={\color{green} m}(x-x_1)\qquad \textit{plug in your values, then solve for "y"}\\
\qquad \uparrow \\
\textit{point-slope form}\)

Answer 10

okay so y-100 = 100/-150 (x-300) right y-100 = -2/3 (x-300) so y-100 = -2/3 x+200 add 100 to both sides y= -2/3x +300

Answer 11

https://www.desmos.com/calculator plug in the equation y=-2/3x +300 to check the answer you may need to zoom out a little