Question

find the point - slope equation for the line that passes through the points (2, 5) and (4, 11). use the first point in your equation. y - ? = (x - )

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Given $(x_1,y_1)=(2,5)$ and $(x_2,y_2)=(4,11)$, then $m=\frac{11 - 5}{4 - 2}=\frac{6}{2}=3$.

Step2: Write the point - slope equation

The point - slope form is $y - y_1=m(x - x_1)$. Using the first point $(2,5)$ and $m = 3$, we get $y-5 = 3(x - 2)$.

Answer:

$y - 5=3(x - 2)$