5y+7x=5

Subtract 7x from both sides of the equation.

5y=5-7x

Divide each term by 5 and simplify.

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

5y5=55+-7×5

Cancel the common factor of 5.

Cancel the common factor.

5y5=55+-7×5

Divide y by 1.

y=55+-7×5

y=55+-7×5

Simplify each term.

Divide 5 by 5.

y=1+-7×5

Move the negative in front of the fraction.

y=1-7×5

y=1-7×5

y=1-7×5

y=1-7×5

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

y=mx+b

Reorder 1 and -7×5.

y=-7×5+1

Rewrite in slope-intercept form.

y=-75x+1

y=-75x+1

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

m=-75

b=1

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

Slope: -75

y-intercept: 1

Slope: -75

y-intercept: 1

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+1

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 5.

Factor 5 out of 7(0).

f(0)=-5(7⋅(0))5+1

Cancel the common factors.

Factor 5 out of 5.

f(0)=-5(7⋅(0))5(1)+1

Cancel the common factor.

f(0)=-5(7⋅(0))5⋅1+1

Rewrite the expression.

f(0)=-7⋅(0)1+1

Divide 7⋅(0) by 1.

f(0)=-(7⋅(0))+1

f(0)=-(7⋅(0))+1

f(0)=-(7⋅(0))+1

Multiply 7 by 0.

f(0)=-0+1

Multiply -1 by 0.

f(0)=0+1

f(0)=0+1

Add 0 and 1.

f(0)=1

The final answer is 1.

1

1

The y value at x=0 is 1.

y=1

y=1

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+1

Simplify the result.

Multiply 7 by 1.

f(1)=-75+1

Simplify the expression.

Write 1 as a fraction with a common denominator.

f(1)=-75+55

Combine the numerators over the common denominator.

f(1)=-7+55

f(1)=-7+55

Add -7 and 5.

f(1)=-25

Move the negative in front of the fraction.

f(1)=-25

The final answer is -25.

-25

-25

The y value at x=1 is -25.

y=-25

y=-25

Create a table of the x and y values.

xy011-25

xy011-25

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

Slope: -75

y-intercept: 1

xy011-25

Graph 5y+7x=5