Graph y=-1.8x+1.6y

Math
y=-1.8x+1.6y
Solve for y.
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Move all terms containing y to the left side of the equation.
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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.
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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.
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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
Use the slope-intercept form to find the slope and y-intercept.
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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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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Choose 0 to substitute in for x to find the ordered pair.
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Replace the variable x with 0 in the expression.
f(0)=3(0)
Simplify the result.
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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.
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Replace the variable x with 1 in the expression.
f(1)=3(1)
Simplify the result.
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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

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