Question

1. write the equation of a line with a slope of 3 that goes through the point (2,5) in point - slope form.

Explanation:

Step1: Recall point - slope formula

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

Step2: Identify values of $m$, $x_1$, and $y_1$

We are given that the slope $m = 3$, and the point on the line is $(2,5)$. So, $x_1=2$ and $y_1 = 5$.

Step3: Substitute values into the formula

Substitute $m = 3$, $x_1=2$, and $y_1 = 5$ into the point - slope formula $y - y_1=m(x - x_1)$. We get $y - 5=3(x - 2)$.

Answer:

The equation of the line in point - slope form is $y - 5 = 3(x - 2)$