Graph y=-4/5x+5

Math
y=-45x+5
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=-45
b=5
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -45
y-intercept: 5
Slope: -45
y-intercept: 5
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)=-4(0)5+5
Simplify the result.
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Simplify each term.
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Cancel the common factor of 0 and 5.
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Factor 5 out of 4(0).
f(0)=-5(4⋅(0))5+5
Cancel the common factors.
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Factor 5 out of 5.
f(0)=-5(4⋅(0))5(1)+5
Cancel the common factor.
f(0)=-5(4⋅(0))5⋅1+5
Rewrite the expression.
f(0)=-4⋅(0)1+5
Divide 4⋅(0) by 1.
f(0)=-(4⋅(0))+5
f(0)=-(4⋅(0))+5
f(0)=-(4⋅(0))+5
Multiply 4 by 0.
f(0)=-0+5
Multiply -1 by 0.
f(0)=0+5
f(0)=0+5
Add 0 and 5.
f(0)=5
The final answer is 5.
5
5
The y value at x=0 is 5.
y=5
y=5
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)=-4(2)5+5
Simplify the result.
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Multiply 4 by 2.
f(2)=-85+5
To write 5 as a fraction with a common denominator, multiply by 55.
f(2)=-85+5⋅55
Combine 5 and 55.
f(2)=-85+5⋅55
Combine the numerators over the common denominator.
f(2)=-8+5⋅55
Simplify the numerator.
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Multiply 5 by 5.
f(2)=-8+255
Add -8 and 25.
f(2)=175
f(2)=175
The final answer is 175.
175
175
The y value at x=2 is 175.
y=175
y=175
Create a table of the x and y values.
xy052175
xy052175
Graph the line using the slope and the y-intercept, or the points.
Slope: -45
y-intercept: 5
xy052175
Graph y=-4/5x+5

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