Answer
slope=3
Work Step by Step
When an equation is in slope-intercept form, or y=mx+b form, m=slope and b=y-intercept. Therefore, in order for us to determine the slope of the graph of y=3(x-9)+2, we must rearrange the right side of the equation to get it in y=mx+b form. First, we'll apply the distributive property
y=3(x-9)+2
y=(3)(x)-(3)(9)+2 (Distributive Property)
Then, we'll simplify
y=3x-27+2 (Simplify)
y=3x-25 (Simplify)
Now that the equation is in y=mx+b form, we can easily observe the fact that m=3, therefore, the slope=3
