Question

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

Explanation:

Step1: Identify y-intercept

The equation $y=4x-1$ is in slope-intercept form $y=mx+b$, where $b=-1$. This gives the point $(0, -1)$.

Step2: Use slope to find second point

Slope $m=4=\frac{4}{1}$. From $(0, -1)$, move 1 right, 4 up: $(0+1, -1+4)=(1, 3)$.

Step3: Plot and connect points

Mark $(0, -1)$ and $(1, 3)$, then draw a straight line through them extending across the grid.

Answer:

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