y=-1.8x+1.6y

Move all terms containing y to the left side of the equation.

Subtract 1.6y from both sides of the equation.

y-1.6y=-1.8x

Subtract 1.6y from y.

-0.6y=-1.8x

-0.6y=-1.8x

Divide each term by -0.6 and simplify.

Divide each term in -0.6y=-1.8x by -0.6.

-0.6y-0.6=-1.8x-0.6

Cancel the common factor of -0.6.

y=-1.8x-0.6

Simplify -1.8x-0.6.

Dividing two negative values results in a positive value.

y=(1.8)x0.6

Factor 1.8 out of 1.8x.

y=1.8(x)0.6

Factor 0.6 out of 0.6.

y=1.8(x)0.6(1)

Separate fractions.

y=1.80.6⋅x1

Divide 1.8 by 0.6.

y=3×1

Divide x by 1.

y=3x

y=3x

y=3x

y=3x

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=3

b=0

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

Slope: 3

y-intercept: 0

Slope: 3

y-intercept: 0

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

Replace the variable x with 0 in the expression.

f(0)=3(0)

Simplify the result.

Multiply 3 by 0.

f(0)=0

The final answer is 0.

0

0

The y value at x=0 is 0.

y=0

y=0

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

Replace the variable x with 1 in the expression.

f(1)=3(1)

Simplify the result.

Multiply 3 by 1.

f(1)=3

The final answer is 3.

3

3

The y value at x=1 is 3.

y=3

y=3

Create a table of the x and y values.

xy0013

xy0013

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

Slope: 3

y-intercept: 0

xy0013

Graph y=-1.8x+1.6y