Question

t this graph:
hat is the equation of the line in point-slope form?
se the red point in your equation. write your answer using intege
mproper fractions in simplest form.
$y - 60 = \square(x - \square)$

Explanation:

Step1: Identify the red point

The red point is $(-10, -60)$.

Step2: Find the slope of the line

Choose a second point on the line, e.g., $(90, -40)$. Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{-40 - (-60)}{90 - (-10)}=\frac{20}{100}=\frac{1}{5}$

Step3: Apply point-slope form

Point-slope formula: $y - y_1 = m(x - x_1)$, substitute $(x_1,y_1)=(-10, -60)$ and $m=\frac{1}{5}$.
$y - (-60) = \frac{1}{5}(x - (-10))$, which simplifies to $y + 60 = \frac{1}{5}(x + 10)$

Answer:

$y - (-60) = \frac{1}{5}(x - (-10))$ (or simplified as $y + 60 = \frac{1}{5}(x + 10)$)