Question

Graph the line of equation $y=2x-3$using its slope and y-intercept.

Short answer

The slope of the equation $y=2x-3$is $2$and the y-intercept is $(0,-3)$and the graph of equation is as:

Step-by-step solution

Step 1. Given information 

The given equation of the line is$y=2x-3$.

Step 2. Identify the slope of equation.

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

Thus, the slope of equation$y=2x-3$is$2$.

Step 3. Identify the y-intercept.

The y-intercept of equation$y=2x-3$is$(0,-3)$.

Step 4. Graph the line of equation

The graph of the line of equation $y=2x-3$is plotted using the slope $2$and y-intercept $(0,-3)$as shown below: