Question

graph the line with the equation $y = 4x - 1$.

Explanation:

Step1: Identify slope-intercept form

The equation $y=4x-1$ follows $y=mx+b$, where $m=4$ (slope) and $b=-1$ (y-intercept).

Step2: Plot the y-intercept

The y-intercept is at $(0, -1)$; mark this point on the graph.

Step3: Use slope to find a second point

Slope $m=4=\frac{4}{1}$, so move 1 unit right and 4 units up from $(0,-1)$ to get $(1, 3)$. Mark this point.

Step4: Draw the line

Connect the two points $(0,-1)$ and $(1,3)$, then extend the line across the grid.

Answer:

The line passes through points $(0, -1)$ and $(1, 3)$, and extends infinitely in both directions on the coordinate plane.