# Graph 6x-4y=-20 6x-4y=-20
Solve for y.
Subtract 6x from both sides of the equation.
-4y=-20-6x
Divide each term by -4 and simplify.
Divide each term in -4y=-20-6x by -4.
-4y-4=-20-4+-6x-4
Cancel the common factor of -4.
Cancel the common factor.
-4y-4=-20-4+-6x-4
Divide y by 1.
y=-20-4+-6x-4
y=-20-4+-6x-4
Simplify each term.
Divide -20 by -4.
y=5+-6x-4
Cancel the common factor of -6 and -4.
Factor -2 out of -6x.
y=5+-2(3x)-4
Cancel the common factors.
Factor -2 out of -4.
y=5+-2(3x)-2(2)
Cancel the common factor.
y=5+-2(3x)-2⋅2
Rewrite the expression.
y=5+3×2
y=5+3×2
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
f(0)=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
f(2)=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
Graph 6x-4y=-20     