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.

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.

Answer

Explanation:

Step1: Find the slope (m)

The (y -)intercept is ((0,-60)). Let the red point be ((30,-75)). The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substituting ((x_1,y_1)=(0,-60)) and ((x_2,y_2)=(30,-75)) into the formula: (m=\frac{-75-(-60)}{30 - 0}=\frac{-75 + 60}{30}=\frac{-15}{30}=-\frac{1}{2})

Step2: Use the point - slope form (y - y_1=m(x - x_1))

Using the red point ((x_1,y_1)=(30,-75)) and (m =-\frac{1}{2}) (y-(-75)=-\frac{1}{2}(x - 30))

Answer:

(y + 75=-\frac{1}{2}(x - 30))