Graph y=-5/4x+3

Math
y=-54x+3
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=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -54
y-intercept: 3
Slope: -54
y-intercept: 3
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+3
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+3
Cancel the common factors.
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Factor 4 out of 4.
f(0)=-4(5⋅(0))4(1)+3
Cancel the common factor.
f(0)=-4(5⋅(0))4⋅1+3
Rewrite the expression.
f(0)=-5⋅(0)1+3
Divide 5⋅(0) by 1.
f(0)=-(5⋅(0))+3
f(0)=-(5⋅(0))+3
f(0)=-(5⋅(0))+3
Multiply 5 by 0.
f(0)=-0+3
Multiply -1 by 0.
f(0)=0+3
f(0)=0+3
Add 0 and 3.
f(0)=3
The final answer is 3.
3
3
The y value at x=0 is 3.
y=3
y=3
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+3
Simplify the result.
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Multiply 5 by 1.
f(1)=-54+3
To write 3 as a fraction with a common denominator, multiply by 44.
f(1)=-54+3⋅44
Combine 3 and 44.
f(1)=-54+3⋅44
Combine the numerators over the common denominator.
f(1)=-5+3⋅44
Simplify the numerator.
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Multiply 3 by 4.
f(1)=-5+124
Add -5 and 12.
f(1)=74
f(1)=74
The final answer is 74.
74
74
The y value at x=1 is 74.
y=74
y=74
Create a table of the x and y values.
xy03174
xy03174
Graph the line using the slope and the y-intercept, or the points.
Slope: -54
y-intercept: 3
xy03174
Graph y=-5/4x+3

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