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

Explanation:

Step1: Find the y - intercept

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

Step2: Find the x - intercept

Set $y = 0$. Then $0 = 4x-1$. Solving for $x$ gives $4x=1$, so $x=\frac{1}{4}=0.25$. The x - intercept is the point $(0.25,0)$.

Step3: Plot the points and draw the line

Plot the points $(0,-1)$ and $(0.25,0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Graph the line by plotting the y - intercept $(0,-1)$ and the x - intercept $(0.25,0)$ and drawing a straight line through them.