# Graph -6.75+2.25x

-6.75+2.25x
Reorder -6.75 and 2.25x.
y=2.25x-6.75
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=2.25
b=-6.75
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 2.25
y-intercept: -6.75
Slope: 2.25
y-intercept: -6.75
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)=2.25(3)-6.75
Simplify the result.
Multiply 2.25 by 3.
f(3)=6.75-6.75
Subtract 6.75 from 6.75.
f(3)=0
0
0
The y value at x=3 is 0.
y=0
y=0
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=2.25(2)-6.75
Simplify the result.
Multiply 2.25 by 2.
f(2)=4.5-6.75
Subtract 6.75 from 4.5.
f(2)=-2.25
-2.25
-2.25
The y value at x=2 is -2.25.
y=-2.25
y=-2.25
Create a table of the x and y values.
xy2-2.2530
xy2-2.2530
Graph the line using the slope and the y-intercept, or the points.
Slope: 2.25
y-intercept: -6.75
xy2-2.2530
Graph -6.75+2.25x