6y=10x-32

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

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

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

Graph 6y=10x-32