Question

Find the slope and y-intercept of the line and draw its graph.

$y=3-x$

Short answer

Hence, the slope of the line is $-1$and y-intercept is 3 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$y=3-x$

Compare the equation with slope intercept form, we get

$m=-1$, y-intercept: 3

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

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