what is the equation of the line in point-slope form?\nuse the red point in your equation. write your answer…

Explanation:

Step1: Identify red point coordinates

The red point is at $(100, 40)$.

Step2: Find y-intercept

The line crosses the y-axis at $(0, 24)$.

Step3: Calculate slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{40 - 24}{100 - 0} = \frac{16}{100} = \frac{4}{25}$

Step4: Apply point-slope formula

Point-slope form: $y - y_1 = m(x - x_1)$, substitute $(x_1,y_1)=(100,40)$ and $m=\frac{4}{25}$.

Answer:

$y - 40 = \frac{4}{25}(x - 100)$