Question

there is a line that includes the point (2, 10) and has a slope of 4. what is its equation in point - slope form? use the specified point in your equation. write your answer using integers, proper fractions, and improper fractions. simplify all fractions. y - \square = \square(x - \square)

Explanation:

Step1: Recall point - slope formula

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 of the line.

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

We are given that the line passes through the point $(2,10)$, so $x_1 = 2$ and $y_1=10$. The slope of the line $m = 4$.

Step3: Substitute values into the formula

Substitute $y_1 = 10$, $m = 4$ and $x_1=2$ into the point - slope formula $y - y_1=m(x - x_1)$. We get $y - 10=4(x - 2)$.

Answer:

$y - \boldsymbol{10}= \boldsymbol{4}(x - \boldsymbol{2})$