1 Answer

Shakirthow · Answer 1 · 2022-02-01T05:43:07+0000

$\huge\boxed{y=-(4)/(13)+1}$

First, let's find the slope (
) of the line using the two points:

$\begin{aligned}m&=(y_2-y_1)/(x_2-x_1)\\&=(-3-1)/(13-0)\\&=(-4)/(13)\\&=-(4)/(13)\end{aligned}$

Now, we'll use point-slope form using the first point and the slope to get an equation for the line.

$\begin{aligned}y-y_1&=m(x-x_1)\\y-1&=-(4)/(13)(x-0)\end{aligned}$

Now, we just need to get the equation to slope-intercept form, which is
y=mx+b .

$\begin{aligned}y-1&=-(4)/(13)x\\y&=-(4)/(13)x+1\end{aligned}$

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