Trigonometry Examples

Graph 3x-5y+10=0
3x-5y+10=0
Step 1
Solve for y.
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Step 1.1
Move all terms not containing y to the right side of the equation.
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Step 1.1.1
Subtract 3x from both sides of the equation.
-5y+10=-3x
Step 1.1.2
Subtract 10 from both sides of the equation.
-5y=-3x-10
-5y=-3x-10
Step 1.2
Divide each term in -5y=-3x-10 by -5 and simplify.
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Step 1.2.1
Divide each term in -5y=-3x-10 by -5.
-5y-5=-3x-5+-10-5
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Cancel the common factor of -5.
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Step 1.2.2.1.1
Cancel the common factor.
-5y-5=-3x-5+-10-5
Step 1.2.2.1.2
Divide y by 1.
y=-3x-5+-10-5
y=-3x-5+-10-5
y=-3x-5+-10-5
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Dividing two negative values results in a positive value.
y=3x5+-10-5
Step 1.2.3.1.2
Divide -10 by -5.
y=3x5+2
y=3x5+2
y=3x5+2
y=3x5+2
y=3x5+2
Step 2
Rewrite in slope-intercept form.
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Step 2.1
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Step 2.2
Reorder terms.
y=35x+2
y=35x+2
Step 3
Use the slope-intercept form to find the slope and y-intercept.
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Step 3.1
Find the values of m and b using the form y=mx+b.
m=35
b=2
Step 3.2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 35
y-intercept: (0,2)
Slope: 35
y-intercept: (0,2)
Step 4
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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Step 4.1
Reorder terms.
y=35x+2
Step 4.2
Create a table of the x and y values.
xy0255
xy0255
Step 5
Graph the line using the slope and the y-intercept, or the points.
Slope: 35
y-intercept: (0,2)
xy0255
Step 6
image of graph
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