# Graph 3y-24=8x 3y-24=8x
Solve for y.
Add 24 to both sides of the equation.
3y=8x+24
Divide each term by 3 and simplify.
Divide each term in 3y=8x+24 by 3.
3y3=8×3+243
Cancel the common factor of 3.
Cancel the common factor.
3y3=8×3+243
Divide y by 1.
y=8×3+243
y=8×3+243
Divide 24 by 3.
y=8×3+8
y=8×3+8
y=8×3+8
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=83
b=8
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 83
y-intercept: 8
Slope: 83
y-intercept: 8
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 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=8(0)3+8
Simplify the result.
Multiply 8 by 0.
f(0)=03+8
Divide 0 by 3.
f(0)=0+8
Add 0 and 8.
f(0)=8
The final answer is 8.
8
8
The y value at x=0 is 8.
y=8
y=8
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=8(3)3+8
Simplify the result.
Multiply 8 by 3.
f(3)=243+8
Divide 24 by 3.
f(3)=8+8
Add 8 and 8.
f(3)=16
The final answer is 16.
16
16
The y value at x=3 is 16.
y=16
y=16
Create a table of the x and y values.
xy08316
xy08316
Graph the line using the slope and the y-intercept, or the points.
Slope: 83
y-intercept: 8
xy08316
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