Question

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

Explanation:

Step1: Identify slope and y - intercept

The equation is in slope - intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For $y=4x - 1$, the slope $m = 4$ and the y - intercept $b=-1$.

Step2: Plot the y - intercept

The y - intercept is the point where the line crosses the y - axis. Plot the point $(0,-1)$.

Step3: Use the slope to find another point

The slope $m = 4=\frac{4}{1}$. From the y - intercept $(0,-1)$, move 1 unit to the right (increase $x$ by 1) and 4 units up (increase $y$ by 4) to get the point $(1,3)$.

Step4: Draw the line

Draw a straight line through the points $(0,-1)$ and $(1,3)$.

Answer:

Graph a line passing through the points $(0,-1)$ and $(1,3)$.