Graph -15x+5y=-35

Math
-15x+5y=-35
Solve for y.
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Add 15x to both sides of the equation.
5y=-35+15x
Divide each term by 5 and simplify.
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Divide each term in 5y=-35+15x by 5.
5y5=-355+15×5
Cancel the common factor of 5.
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Cancel the common factor.
5y5=-355+15×5
Divide y by 1.
y=-355+15×5
y=-355+15×5
Simplify each term.
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Divide -35 by 5.
y=-7+15×5
Cancel the common factor of 15 and 5.
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Factor 5 out of 15x.
y=-7+5(3x)5
Cancel the common factors.
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Factor 5 out of 5.
y=-7+5(3x)5(1)
Cancel the common factor.
y=-7+5(3x)5⋅1
Rewrite the expression.
y=-7+3×1
Divide 3x by 1.
y=-7+3x
y=-7+3x
y=-7+3x
y=-7+3x
y=-7+3x
y=-7+3x
Rewrite in slope-intercept form.
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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
Reorder -7 and 3x.
y=3x-7
y=3x-7
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of m and b using the form y=mx+b.
m=3
b=-7
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 3
y-intercept: -7
Slope: 3
y-intercept: -7
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 2 to substitute in for x to find the ordered pair.
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Replace the variable x with 2 in the expression.
f(2)=3(2)-7
Simplify the result.
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Multiply 3 by 2.
f(2)=6-7
Subtract 7 from 6.
f(2)=-1
The final answer is -1.
-1
-1
The y value at x=2 is -1.
y=-1
y=-1
Choose 3 to substitute in for x to find the ordered pair.
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Replace the variable x with 3 in the expression.
f(3)=3(3)-7
Simplify the result.
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Multiply 3 by 3.
f(3)=9-7
Subtract 7 from 9.
f(3)=2
The final answer is 2.
2
2
The y value at x=3 is 2.
y=2
y=2
Create a table of the x and y values.
xy2-132
xy2-132
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
y-intercept: -7
xy2-132
Graph -15x+5y=-35

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