x=25y+600

Rewrite the equation as 25y+600=x.

25y+600=x

Subtract 600 from both sides of the equation.

25y=x-600

Divide each term by 25 and simplify.

Divide each term in 25y=x-600 by 25.

25y25=x25+-60025

Cancel the common factor of 25.

Cancel the common factor.

25y25=x25+-60025

Divide y by 1.

y=x25+-60025

y=x25+-60025

Divide -600 by 25.

y=x25-24

y=x25-24

y=x25-24

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=125

b=-24

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

Slope: 125

y-intercept: -24

Slope: 125

y-intercept: -24

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

Replace the variable x with 0 in the expression.

f(0)=025-24

Simplify the result.

Divide 0 by 25.

f(0)=0-24

Subtract 24 from 0.

f(0)=-24

The final answer is -24.

-24

-24

The y value at x=0 is -24.

y=-24

y=-24

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

Replace the variable x with 1 in the expression.

f(1)=125-24

Simplify the result.

To write -24 as a fraction with a common denominator, multiply by 2525.

f(1)=125-24⋅2525

Combine -24 and 2525.

f(1)=125+-24⋅2525

Combine the numerators over the common denominator.

f(1)=1-24⋅2525

Simplify the numerator.

Multiply -24 by 25.

f(1)=1-60025

Subtract 600 from 1.

f(1)=-59925

f(1)=-59925

Move the negative in front of the fraction.

f(1)=-59925

The final answer is -59925.

-59925

-59925

The y value at x=1 is -59925.

y=-59925

y=-59925

Create a table of the x and y values.

xy0-241-59925

xy0-241-59925

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

Slope: 125

y-intercept: -24

xy0-241-59925

Graph x=25y+600