Question

what is the equation of the line that passes through the point (3, 7) and has a slope of 1?

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 $m = 1$, we substitute into the point - slope form: $y-7 = 1\times(x - 3)$.

Step3: Simplify the equation

$y-7=x - 3$. Then, by adding 7 to both sides, we get $y=x+4$.

Answer:

$y=x + 4$