Question

Graph the line of equation y= 3x-1 using its slope and y-intercept.

Short answer

The slope of equation $y=3x-1$is -1 and the y-intercept is $-1$and graph of the line of equation is as:

Step-by-step solution

Step 1. Given information

The given equation of the line is$y=3x-1$.

Step 2. Identify the slope of the line

The equation is in slope intercept form as $y=mx+b$where $m$s the slope and $(0,b)$is the y-intercept.

Thus, the slope of equation$y=3x-1$is$3$.

Step 3. Identify the y-intercept

The y-intercept of equation $y=3x-1$is $(0,-1)$as$b=-1$.

Step 4. Graph the line of equation.

The graph of equation $y=3x-1$with slope $3$and y-intercept $(0,-1)$is plotted below: