# Graph -3(x-4)-2 -3(x-4)-2
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Find the values of m and b using the form y=mx+b.
m=-3
b=10
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -3
y-intercept: 10
Slope: -3
y-intercept: 10
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=-3⋅3+10
Simplify the result.
Multiply -3 by 3.
f(3)=-9+10
f(3)=1
1
1
The y value at x=3 is 1.
y=1
y=1
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=-3⋅2+10
Simplify the result.
Multiply -3 by 2.
f(2)=-6+10
f(2)=4
4
4
The y value at x=2 is 4.
y=4
y=4
Create a table of the x and y values.
xy2431
xy2431
Graph the line using the slope and the y-intercept, or the points.
Slope: -3
y-intercept: 10
xy2431
Graph -3(x-4)-2     