7x-5y=28

Subtract 7x from both sides of the equation.

-5y=28-7x

Divide each term by -5 and simplify.

Divide each term in -5y=28-7x by -5.

-5y-5=28-5+-7x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=28-5+-7x-5

Divide y by 1.

y=28-5+-7x-5

y=28-5+-7x-5

Simplify each term.

Move the negative in front of the fraction.

y=-285+-7x-5

Dividing two negative values results in a positive value.

y=-285+7×5

y=-285+7×5

y=-285+7×5

y=-285+7×5

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder -285 and 7×5.

y=7×5-285

Rewrite in slope-intercept form.

y=75x-285

y=75x-285

Find the values of m and b using the form y=mx+b.

m=75

b=-285

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 75

y-intercept: -285

Slope: 75

y-intercept: -285

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=7(3)5-285

Simplify the result.

Multiply 7 by 3.

f(3)=215-285

Combine the numerators over the common denominator.

f(3)=21-285

Subtract 28 from 21.

f(3)=-75

Move the negative in front of the fraction.

f(3)=-75

The final answer is -75.

-75

-75

The y value at x=3 is -75.

y=-75

y=-75

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=7(2)5-285

Simplify the result.

Multiply 7 by 2.

f(2)=145-285

Combine the numerators over the common denominator.

f(2)=14-285

Subtract 28 from 14.

f(2)=-145

Move the negative in front of the fraction.

f(2)=-145

The final answer is -145.

-145

-145

The y value at x=2 is -145.

y=-145

y=-145

Create a table of the x and y values.

xy2-1453-75

xy2-1453-75

Graph the line using the slope and the y-intercept, or the points.

Slope: 75

y-intercept: -285

xy2-1453-75

Graph 7x-5y=28