Chapter 4.2, Problem 37PPS

To determine

The equation in point slope form and standard form for following graph of line:

Answer to Problem 37PPS

The standard equation of line is $4x-y=1$ .

Explanation of Solution

Given:

The line is shown below:

Calculation:

From above graph, the coordinate and slope are (1, 3) and 4 respectively.

Point slope form of line is expressed as follows:

$y-y_1=m\left(x-x_1\right)$

Here, m is slope.

Substitute the slope and coordinate in the point slope form as follows:

$y-3=4\left(x-1\right)$

Thus, the point-slope form of line is $y-3=4\left(x-1\right)$ .

Standard form is calculated as follows:

$\begin{array}{l}y-3=4\left(x-1\right)\\ y-3=4x-4\\ 4x-y=1\end{array}$

Thus, the standard equation of line is $4x-y=1$ .