Chapter 4.2, Problem 34PPS

To determine

The equation of line with coordinate (-4, 3) and y-intercept 0.

Answer to Problem 34PPS

The equation of line is $y=-\frac{3}{4}x$ .

Explanation of Solution

Given:

The line has coordinate (-4, 3) and y-intercept 0.

Calculation:

Standard equation of slope intercept form is expressed as follows:

$y=mx+c$

Here, m is slope and c stands for constant.

Substitute the value of y-intercept in above equation as follows:

$\begin{array}{c}y=mx+0\\ =mx\end{array}$

Substitute the (-4, 3) in above equation as follows:

$\begin{array}{l}3=m\left(-4\right)\\ m=-\frac{3}{4}\end{array}$

Thus, the equation of line is calculated as follows:

$y=-\frac{3}{4}x$

Thus, the equation of line is $y=-\frac{3}{4}x$ .