Question

graph the line with the equation $y = 2x - 1$.

Explanation:

Step1: Find the y - intercept

The equation is in the form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=2x - 1\), when \(x = 0\), \(y=-1\). So, one point is \((0,-1)\).

Step2: Find another point using the slope

The slope \(m = 2=\frac{\Delta y}{\Delta x}\). From the point \((0,-1)\), if \(\Delta x = 1\), then \(\Delta y=2\). So, another point is \((0 + 1,-1+2)=(1,1)\).

Step3: Plot the points and draw the line

Plot the points \((0,-1)\) and \((1,1)\) on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

Plot the points \((0,-1)\) and \((1,1)\) and draw a line through them to graph \(y = 2x-1\).