15y-21x=75

Add 21x to both sides of the equation.

15y=75+21x

Divide each term by 15 and simplify.

Divide each term in 15y=75+21x by 15.

15y15=7515+21×15

Cancel the common factor of 15.

Cancel the common factor.

15y15=7515+21×15

Divide y by 1.

y=7515+21×15

y=7515+21×15

Simplify each term.

Divide 75 by 15.

y=5+21×15

Cancel the common factor of 21 and 15.

Factor 3 out of 21x.

y=5+3(7x)15

Cancel the common factors.

Factor 3 out of 15.

y=5+3(7x)3(5)

Cancel the common factor.

y=5+3(7x)3⋅5

Rewrite the expression.

y=5+7×5

y=5+7×5

y=5+7×5

y=5+7×5

y=5+7×5

y=5+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 5 and 7×5.

y=7×5+5

Rewrite in slope-intercept form.

y=75x+5

y=75x+5

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

m=75

b=5

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

Slope: 75

y-intercept: 5

Slope: 75

y-intercept: 5

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=7(0)5+5

Simplify the result.

Multiply 7 by 0.

f(0)=05+5

Divide 0 by 5.

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 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=7(1)5+5

Simplify the result.

Multiply 7 by 1.

f(1)=75+5

To write 5 as a fraction with a common denominator, multiply by 55.

f(1)=75+5⋅55

Combine 5 and 55.

f(1)=75+5⋅55

Combine the numerators over the common denominator.

f(1)=7+5⋅55

Simplify the numerator.

Multiply 5 by 5.

f(1)=7+255

Add 7 and 25.

f(1)=325

f(1)=325

The final answer is 325.

325

325

The y value at x=1 is 325.

y=325

y=325

Create a table of the x and y values.

xy051325

xy051325

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

Slope: 75

y-intercept: 5

xy051325

Graph 15y-21x=75