# Graph 6y=10x-32 6y=10x-32
Divide each term by 6 and simplify.
Divide each term in 6y=10x-32 by 6.
6y6=10×6+-326
Cancel the common factor of 6.
Cancel the common factor.
6y6=10×6+-326
Divide y by 1.
y=10×6+-326
y=10×6+-326
Simplify each term.
Cancel the common factor of 10 and 6.
Factor 2 out of 10x.
y=2(5x)6+-326
Cancel the common factors.
Factor 2 out of 6.
y=2(5x)2(3)+-326
Cancel the common factor.
y=2(5x)2⋅3+-326
Rewrite the expression.
y=5×3+-326
y=5×3+-326
y=5×3+-326
Cancel the common factor of -32 and 6.
Factor 2 out of -32.
y=5×3+2(-16)6
Cancel the common factors.
Factor 2 out of 6.
y=5×3+2⋅-162⋅3
Cancel the common factor.
y=5×3+2⋅-162⋅3
Rewrite the expression.
y=5×3+-163
y=5×3+-163
y=5×3+-163
Move the negative in front of the fraction.
y=5×3-163
y=5×3-163
y=5×3-163
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=53
b=-163
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 53
y-intercept: -163
Slope: 53
y-intercept: -163
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)=5(2)3-163
Simplify the result.
Multiply 5 by 2.
f(2)=103-163
Combine the numerators over the common denominator.
f(2)=10-163
Subtract 16 from 10.
f(2)=-63
Divide -6 by 3.
f(2)=-2
The final answer is -2.
-2
-2
The y value at x=2 is -2.
y=-2
y=-2
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=5(3)3-163
Simplify the result.
Multiply 5 by 3.
f(3)=153-163
Combine the numerators over the common denominator.
f(3)=15-163
Subtract 16 from 15.
f(3)=-13
Move the negative in front of the fraction.
f(3)=-13
The final answer is -13.
-13
-13
The y value at x=3 is -13.
y=-13
y=-13
Create a table of the x and y values.
xy2-23-13
xy2-23-13
Graph the line using the slope and the y-intercept, or the points.
Slope: 53
y-intercept: -163
xy2-23-13
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