# Graph 3x-2y=-10 3x-2y=-10
Solve for y.
Subtract 3x from both sides of the equation.
-2y=-10-3x
Divide each term by -2 and simplify.
Divide each term in -2y=-10-3x by -2.
-2y-2=-10-2+-3x-2
Cancel the common factor of -2.
Cancel the common factor.
-2y-2=-10-2+-3x-2
Divide y by 1.
y=-10-2+-3x-2
y=-10-2+-3x-2
Simplify each term.
Divide -10 by -2.
y=5+-3x-2
Dividing two negative values results in a positive value.
y=5+3×2
y=5+3×2
y=5+3×2
y=5+3×2
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 5 and 3×2.
y=3×2+5
Rewrite in slope-intercept form.
y=32x+5
y=32x+5
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=32
b=5
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 32
y-intercept: 5
Slope: 32
y-intercept: 5
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)=3(0)2+5
Simplify the result.
Multiply 3 by 0.
f(0)=02+5
Divide 0 by 2.
f(0)=0+5
Add 0 and 5.
f(0)=5
The final answer is 5.
5
5
The y value at x=0 is 5.
y=5
y=5
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)2+5
Simplify the result.
Multiply 3 by 2.
f(2)=62+5
Divide 6 by 2.
f(2)=3+5
Add 3 and 5.
f(2)=8
The final answer is 8.
8
8
The y value at x=2 is 8.
y=8
y=8
Create a table of the x and y values.
xy0528
xy0528
Graph the line using the slope and the y-intercept, or the points.
Slope: 32
y-intercept: 5
xy0528
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