look at this graph:\nwhat is the equation of the line in point-slope form?\nuse the red point in your…

look at this graph:\nwhat is the equation of the line in point-slope form?\nuse the red point in your equation. write your answer using integers, proper fractions, and improper fractions in simplest form.\n$y - \\square = \\square(x - \\square)$

look at this graph:\nwhat is the equation of the line in point-slope form?\nuse the red point in your equation. write your answer using integers, proper fractions, and improper fractions in simplest form.\n$y - \\square = \\square(x - \\square)$

Answer

Explanation:

Step1: Identify red point coordinates

The red point is at $(1, -2)$.

Step2: Calculate the slope

Pick a second point, e.g., $(-5, 0)$. Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$: $m=\frac{-2-0}{1-(-5)}=\frac{-2}{6}=-\frac{1}{3}$

Step3: Apply point-slope form

Point-slope formula: $y-y_1=m(x-x_1)$, substitute $(x_1,y_1)=(1,-2)$ and $m=-\frac{1}{3}$.

Answer:

$y - (-2) = -\frac{1}{3}(x - 1)$ or simplified: $y + 2 = -\frac{1}{3}(x - 1)$

Filling the blanks: $y - \boldsymbol{-2} = \boldsymbol{-\frac{1}{3}}(x - \boldsymbol{1})$