look at this graph: what is the equation of the line in point - slope form? use the red point in your…

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

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

Answer

Explanation:

Step1: Find the slope

The line passes through the points $(0, 40)$ and $(40,60)$. The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So $m=\frac{60 - 40}{40-0}=\frac{20}{40}=\frac{1}{2}$.

Step2: Identify the red - point coordinates

The red - point has coordinates $(40,60)$.

Step3: Write the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Substituting $m = \frac{1}{2}$, $x_1 = 40$ and $y_1=60$ we get $y - 60=\frac{1}{2}(x - 40)$.

Answer:

$y - 60=\frac{1}{2}(x - 40)$