5x-2y=3

Subtract 5x from both sides of the equation.

-2y=3-5x

Divide each term by -2 and simplify.

Divide each term in -2y=3-5x by -2.

-2y-2=3-2+-5x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=3-2+-5x-2

Divide y by 1.

y=3-2+-5x-2

y=3-2+-5x-2

Simplify each term.

Move the negative in front of the fraction.

y=-32+-5x-2

Dividing two negative values results in a positive value.

y=-32+5×2

y=-32+5×2

y=-32+5×2

y=-32+5×2

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

y=mx+b

Reorder -32 and 5×2.

y=5×2-32

Rewrite in slope-intercept form.

y=52x-32

y=52x-32

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

m=52

b=-32

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

Slope: 52

y-intercept: -32

Slope: 52

y-intercept: -32

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

Replace the variable x with 1 in the expression.

f(1)=5(1)2-32

Simplify the result.

Multiply 5 by 1.

f(1)=52-32

Combine the numerators over the common denominator.

f(1)=5-32

Subtract 3 from 5.

f(1)=22

Divide 2 by 2.

f(1)=1

The final answer is 1.

1

1

The y value at x=1 is 1.

y=1

y=1

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=5(3)2-32

Simplify the result.

Combine the numerators over the common denominator.

f(3)=5(3)-32

Simplify the numerator.

Multiply 5 by 3.

f(3)=15-32

Subtract 3 from 15.

f(3)=122

f(3)=122

Divide 12 by 2.

f(3)=6

The final answer is 6.

6

6

The y value at x=3 is 6.

y=6

y=6

Create a table of the x and y values.

xy1136

xy1136

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

Slope: 52

y-intercept: -32

xy1136

Graph 5x-2y=3