Question

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.

x-intercept is$-4$and y-intercept is 4

Short answer

The equation of line is$y=x+4$

Step-by-step solution

Step 1. Given Information 

The given x-intercept and y-intercept are$-4and4$respectively.

Step 2. Calculation   

Since x-intercept is $-4$and y-intercept is 4, one point on the line will be $(-4,0)$and the other point will be$(0,4)$

Use the points to find the slope of line.

$$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{4-0}{0-(-4)} \\ =\frac{4}{4} \\ =1 \end{gathered}$$

Use the slope intercept form of an equation and substitute the given values in it.

$$\begin{gathered} y=mx+b \\ y=1x+4 \\ y=x+4 \end{gathered}$$