# Graph 2x+0.5x-3y+4.75y+9.8 2x+0.5x-3y+4.75y+9.8
Solve for y.
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
Use the slope-intercept form to find the slope and y-intercept.
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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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
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