1 Answer

Michael Siebert · Answer 1 · 2022-04-17T20:34:08+0000

Calculate the slope by using the rise over run with two given coordinate points.

Note: Origin point = (0,0).

$\begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}$

$m = (y_2 - y_1)/(x_2 - x_1) \\ m = (0 - ( - 9))/(0 - ( - 4)) \\ m = (0 + 9)/(0 + 4) \Longrightarrow (9)/(4)$

$y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}$

Rewrite the equation by substituting m = 9/4 in the equation.

y = (9)/(4) x + b

Because the graph passes through the origin point. That means the y-intercept is (0,0).

Therefore we rewrite the equation again to

$y = (9)/(4) x + 0 \\ y = (9)/(4) x$

$\large \boxed{y = (9)/(4) x}$

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