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
Subtract 3 from 0.
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
Subtract 12 from -5.
f(1)=-174
f(1)=-174
Move the negative in front of the fraction.
f(1)=-174
The final answer is -174.
-174
-174
The y value at x=1 is -174.
y=-174
y=-174
Create a table of the x and y values.
xy0-31-174
xy0-31-174
Graph the line using the slope and the y-intercept, or the points.
Slope: -54
y-intercept: -3
xy0-31-174
Graph y=-5/4x-3

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