Question

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

Explanation:

Step1: Find the y - intercept

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

Step2: Find another point using the slope

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

Step3: Plot the points and draw the line

Plot the points \((0,-2)\) and \((1,0)\) on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

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