Question

write the equation of the line in fully simplified slope - intercept form.

Explanation:

Step1: Identify two points on the line

We can take two points, say (-10,0) and (0, - 6).

Step2: Calculate the slope (m)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1=-10,y_1 = 0,x_2 = 0,y_2=-6$, we get $m=\frac{-6 - 0}{0-(-10)}=\frac{-6}{10}=-\frac{3}{5}$.

Step3: Identify the y - intercept (b)

The y - intercept is the y - value when $x = 0$. From the point (0,-6), $b=-6$.

Step4: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m =-\frac{3}{5}$ and $b=-6$, we get $y=-\frac{3}{5}x-6$.

Answer:

$y =-\frac{3}{5}x - 6$