2x+0.5x-3y+4.75y+9.8

Move all terms not containing y to the right side of the equation.

Subtract 2.5x from both sides of the equation.

1.75y+9.8=-2.5x

Subtract 9.8 from both sides of the equation.

1.75y=-2.5x-9.8

1.75y=-2.5x-9.8

Divide each term by 1.75 and simplify.

Divide each term in 1.75y=-2.5x-9.8 by 1.75.

1.75y1.75=-2.5×1.75+-9.81.75

Cancel the common factor of 1.75.

y=-2.5×1.75+-9.81.75

Simplify each term.

Move the negative in front of the fraction.

y=-(2.5)x1.75+-9.81.75

Factor 2.5 out of 2.5x.

y=-2.5(x)1.75+-9.81.75

Factor 1.75 out of 1.75.

y=-2.5(x)1.75(1)+-9.81.75

Separate fractions.

y=-(2.51.75⋅x1)+-9.81.75

Divide 2.5 by 1.75.

y=-(1.428571‾x1)+-9.81.75

Divide x by 1.

y=-(1.428571‾x)+-9.81.75

Multiply 1.428571‾ by -1.

y=-1.428571‾x+-9.81.75

Divide -9.8 by 1.75.

y=-1.428571‾x-5.6

y=-1.428571‾x-5.6

y=-1.428571‾x-5.6

y=-1.428571‾x-5.6

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=-1.428571‾

b=-5.6

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

Slope: -1.428571‾

y-intercept: -5.6

Slope: -1.428571‾

y-intercept: -5.6

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

Replace the variable x with 0 in the expression.

f(0)=-1.428571‾⋅0-5.6

Simplify the result.

Multiply -1.428571‾ by 0.

f(0)=0-5.6

Subtract 5.6 from 0.

f(0)=-5.6

The final answer is -5.6.

-5.6

-5.6

The y value at x=0 is -5.6.

y=-5.6

y=-5.6

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

Replace the variable x with 1 in the expression.

f(1)=-1.428571‾⋅1-5.6

Simplify the result.

Multiply -1.428571‾ by 1.

f(1)=-1.428571‾-5.6

Subtract 5.6 from -1.428571‾.

f(1)=-7.0285714‾

The final answer is -7.0285714‾.

-7.0285714‾

-7.0285714‾

The y value at x=1 is -7.0285714‾.

y=-7.0285714‾

y=-7.0285714‾

Create a table of the x and y values.

xy0-5.61-7.029

xy0-5.61-7.029

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

Slope: -1.428571‾

y-intercept: -5.6

xy0-5.61-7.029

Graph 2x+0.5x-3y+4.75y+9.8