x+5y=7

Subtract x from both sides of the equation.

5y=7-x

Divide each term by 5 and simplify.

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

5y5=75+-x5

Cancel the common factor of 5.

Cancel the common factor.

5y5=75+-x5

Divide y by 1.

y=75+-x5

y=75+-x5

Move the negative in front of the fraction.

y=75-x5

y=75-x5

y=75-x5

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

y=mx+b

Reorder 75 and -x5.

y=-x5+75

Rewrite in slope-intercept form.

y=-15x+75

y=-15x+75

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

m=-15

b=75

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

Slope: -15

y-intercept: 75

Slope: -15

y-intercept: 75

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

Replace the variable x with 2 in the expression.

f(2)=-25+75

Simplify the result.

Combine the numerators over the common denominator.

f(2)=-2+75

Add -2 and 7.

f(2)=55

Divide 5 by 5.

f(2)=1

The final answer is 1.

1

1

The y value at x=2 is 1.

y=1

y=1

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

Replace the variable x with 0 in the expression.

f(0)=-05+75

Simplify the result.

Combine the numerators over the common denominator.

f(0)=0+75

Add 0 and 7.

f(0)=75

The final answer is 75.

75

75

The y value at x=0 is 75.

y=75

y=75

Create a table of the x and y values.

xy07521

xy07521

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

Slope: -15

y-intercept: 75

xy07521

Graph x+5y=7