# Graph 9x-2y=8 9x-2y=8
Solve for y.
Subtract 9x from both sides of the equation.
-2y=8-9x
Divide each term by -2 and simplify.
Divide each term in -2y=8-9x by -2.
-2y-2=8-2+-9x-2
Cancel the common factor of -2.
Cancel the common factor.
-2y-2=8-2+-9x-2
Divide y by 1.
y=8-2+-9x-2
y=8-2+-9x-2
Simplify each term.
Divide 8 by -2.
y=-4+-9x-2
Dividing two negative values results in a positive value.
y=-4+9×2
y=-4+9×2
y=-4+9×2
y=-4+9×2
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder -4 and 9×2.
y=9×2-4
Rewrite in slope-intercept form.
y=92x-4
y=92x-4
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=92
b=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 92
y-intercept: -4
Slope: 92
y-intercept: -4
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)=9(0)2-4
Simplify the result.
Multiply 9 by 0.
f(0)=02-4
Divide 0 by 2.
f(0)=0-4
Subtract 4 from 0.
f(0)=-4
The final answer is -4.
-4
-4
The y value at x=0 is -4.
y=-4
y=-4
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=9(2)2-4
Simplify the result.
Multiply 9 by 2.
f(2)=182-4
Divide 18 by 2.
f(2)=9-4
Subtract 4 from 9.
f(2)=5
The final answer is 5.
5
5
The y value at x=2 is 5.
y=5
y=5
Create a table of the x and y values.
xy0-425
xy0-425
Graph the line using the slope and the y-intercept, or the points.
Slope: 92
y-intercept: -4
xy0-425
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