Question

Write the equation of the line fully simplified slope-intercept form.

Answer 1

Answer:5y=x-35

Step-by-step explanation:

The given line passes through the points $(0,-7)$,$(10,-5)$.

Let the slope of the line be $m$.

If a line passes through $(x_{1},y_{1})$ and $(x_{2},y_{2})$,then

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So,$m=\frac{-7-(-5)}{0-10}=\frac{1}{5}$

Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.

Let the y intercept be $b$

From the graph,$b=-7$

The equation of the line with slope $m$ and y-intercept $b$ is $y=mx+b$

So,$y=\frac{1}{5}x-7$

$5y=x-35$