Question

write the slope - intercept form of the equation of each line. 17)

Explanation:

Step1: Identify two points on the line

Let's take the points $(-5,0)$ and $(0, - 4)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{-4 - 0}{0-(-5)}=\frac{-4}{5}=-\frac{4}{5}$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the points, when $x = 0$, $y=-4$, so $b=-4$.

Step4: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m =-\frac{4}{5}$ and $b=-4$, we get $y=-\frac{4}{5}x-4$.

Answer:

$y =-\frac{4}{5}x - 4$