Graph y=-5/4x-17

Math
y=-54x-17
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=-54
b=-17
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -54
y-intercept: -17
Slope: -54
y-intercept: -17
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)=-5(0)4-17
Simplify the result.
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Simplify each term.
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Cancel the common factor of 0 and 4.
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Factor 4 out of 5(0).
f(0)=-4(5⋅(0))4-17
Cancel the common factors.
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Factor 4 out of 4.
f(0)=-4(5⋅(0))4(1)-17
Cancel the common factor.
f(0)=-4(5⋅(0))4⋅1-17
Rewrite the expression.
f(0)=-5⋅(0)1-17
Divide 5⋅(0) by 1.
f(0)=-(5⋅(0))-17
f(0)=-(5⋅(0))-17
f(0)=-(5⋅(0))-17
Multiply 5 by 0.
f(0)=-0-17
Multiply -1 by 0.
f(0)=0-17
f(0)=0-17
Subtract 17 from 0.
f(0)=-17
The final answer is -17.
-17
-17
The y value at x=0 is -17.
y=-17
y=-17
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)=-5(1)4-17
Simplify the result.
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Multiply 5 by 1.
f(1)=-54-17
To write -17 as a fraction with a common denominator, multiply by 44.
f(1)=-54-17⋅44
Combine -17 and 44.
f(1)=-54+-17⋅44
Combine the numerators over the common denominator.
f(1)=-5-17⋅44
Simplify the numerator.
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Multiply -17 by 4.
f(1)=-5-684
Subtract 68 from -5.
f(1)=-734
f(1)=-734
Move the negative in front of the fraction.
f(1)=-734
The final answer is -734.
-734
-734
The y value at x=1 is -734.
y=-734
y=-734
Create a table of the x and y values.
xy0-171-734
xy0-171-734
Graph the line using the slope and the y-intercept, or the points.
Slope: -54
y-intercept: -17
xy0-171-734
Graph y=-5/4x-17

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