# Graph 2x-3y=-20 2x-3y=-20
Solve for y.
Subtract 2x from both sides of the equation.
-3y=-20-2x
Divide each term by -3 and simplify.
Divide each term in -3y=-20-2x by -3.
-3y-3=-20-3+-2x-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=-20-3+-2x-3
Divide y by 1.
y=-20-3+-2x-3
y=-20-3+-2x-3
Simplify each term.
Dividing two negative values results in a positive value.
y=203+-2x-3
Dividing two negative values results in a positive value.
y=203+2×3
y=203+2×3
y=203+2×3
y=203+2×3
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 203 and 2×3.
y=2×3+203
Rewrite in slope-intercept form.
y=23x+203
y=23x+203
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=23
b=203
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 23
y-intercept: 203
Slope: 23
y-intercept: 203
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 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=2(2)3+203
Simplify the result.
Multiply 2 by 2.
f(2)=43+203
Combine the numerators over the common denominator.
f(2)=4+203
Add 4 and 20.
f(2)=243
Divide 24 by 3.
f(2)=8
The final answer is 8.
8
8
The y value at x=2 is 8.
y=8
y=8
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=2(0)3+203
Simplify the result.
Multiply 2 by 0.
f(0)=03+203
Combine the numerators over the common denominator.
f(0)=0+203
Add 0 and 20.
f(0)=203
The final answer is 203.
203
203
The y value at x=0 is 203.
y=203
y=203
Create a table of the x and y values.
xy020328
xy020328
Graph the line using the slope and the y-intercept, or the points.
Slope: 23
y-intercept: 203
xy020328
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