Chapter 4.4, Problem 63SR

To determine

To find: The equation of the straight line in point-slope form which passes through the point $\left(3,5\right)$ having slope $\left(m\right)=2$ .

Answer to Problem 63SR

The equation of straight line in point-slope form is $y-5=2\left(x-3\right)$ .

Explanation of Solution

Given information: The slope of the given line is $\left(m\right)=2$ and it passes through the point $\left(3,5\right)$ .

Formula used: The equation of the straight line in point-slope form which passes through the points $\left(x_1,y_1\right)$ and having slope $\left(m\right)$ is written as $y-y_1=m\left(x-x_1\right)$ .

Calculation: The equation of the straight line in point-slope form having slope $\left(m\right)=2$ passing through the point $\left(3,5\right)$ is written as,

  $\begin{array}{c}y-y_1=m\left(x-x_1\right)\mathrm{......}\left(\begin{array}{l}\text{ Here, }m=2\\ \text{and }\left(x_1,y_1\right)\to \left(3,5\right)\end{array}\right)\\ y-5=2\left(x-3\right)\end{array}$