Question

what is the equation of the line that passes through the point (3,7) and has a slope of 3?

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope.

Step2: Substitute values

Given $(x_1,y_1)=(3,7)$ and $m = 3$, we substitute into the formula: $y-7 = 3(x - 3)$.

Step3: Expand and simplify

$y-7=3x-9$. Then $y=3x-9 + 7$, so $y=3x-2$.

Answer:

$y = 3x-2$