Question

state the slope and the y-intercept for the graph: y = 2x + 2; m=1 b=(0,1); m=2 b=(0,2); m=2 b=(2,0); m=-2 b=(0,-2)

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept (the point where the line crosses the \(y\)-axis, which has the form \((0,b)\)).

Step2: Identify \(m\) and \(b\) from \(y = 2x+2\)

For the equation \(y = 2x + 2\), comparing it with \(y=mx + b\), we can see that \(m = 2\) (the coefficient of \(x\)) and \(b = 2\). So the slope \(m = 2\) and the \(y\)-intercept is \((0,2)\).

Answer:

B. \(m = 2\) \(b=(0,2)\) (assuming the second option is labeled as B, with the text \(m = 2\) \(b=(0,2)\))