2x-5y=12

Subtract 2x from both sides of the equation.

-5y=12-2x

Divide each term by -5 and simplify.

Divide each term in -5y=12-2x by -5.

-5y-5=12-5+-2x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=12-5+-2x-5

Divide y by 1.

y=12-5+-2x-5

y=12-5+-2x-5

Simplify each term.

Move the negative in front of the fraction.

y=-125+-2x-5

Dividing two negative values results in a positive value.

y=-125+2×5

y=-125+2×5

y=-125+2×5

y=-125+2×5

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

y=mx+b

Reorder -125 and 2×5.

y=2×5-125

Rewrite in slope-intercept form.

y=25x-125

y=25x-125

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

m=25

b=-125

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

Slope: 25

y-intercept: -125

Slope: 25

y-intercept: -125

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

Replace the variable x with 1 in the expression.

f(1)=2(1)5-125

Simplify the result.

Multiply 2 by 1.

f(1)=25-125

Combine the numerators over the common denominator.

f(1)=2-125

Subtract 12 from 2.

f(1)=-105

Divide -10 by 5.

f(1)=-2

The final answer is -2.

-2

-2

The y value at x=1 is -2.

y=-2

y=-2

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

Replace the variable x with 0 in the expression.

f(0)=2(0)5-125

Simplify the result.

Multiply 2 by 0.

f(0)=05-125

Combine the numerators over the common denominator.

f(0)=0-125

Subtract 12 from 0.

f(0)=-125

Move the negative in front of the fraction.

f(0)=-125

The final answer is -125.

-125

-125

The y value at x=0 is -125.

y=-125

y=-125

Create a table of the x and y values.

xy0-1251-2

xy0-1251-2

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

Slope: 25

y-intercept: -125

xy0-1251-2

Graph 2x-5y=12