Question

Find the slope and y-intercept of the line and draw its graph. (Lesson 1.10)

$-2x+y=7$

Short answer

Hence, the slope of the line is 2 and y-intercept is 7 and the graph is

Step-by-step solution

Step 1. Definition of the slope-intercept form.

Point-intercept is the equation of a straight line in the form$y=mx+b$, where m is the slope and b is y-intercept.

Step 2. Find the slope.

We have$-2x+y=7$

First, convert into slope-intercept form:

Add $-2x$from both sides of the equation:

$\begin{array}{l}-2x+y+2x=2x+7\\ y=2x+7\end{array}$

Compare the equation with slope intercept form, we get

$m=2$, y-intercept: 7

Step 3. Draw the graph.

Now, interpret the slope as $\frac{\text{Rise}}{\text{Run}}$and the then move accordingly to plot another point and draw the line through the two points

$\frac{\text{Rise}}{\text{Run}}=\frac{2}{1}$