Graph y=-5/2x+3

Math
y=-52x+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=-52
b=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -52
y-intercept: 3
Slope: -52
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 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)=-5(2)2+3
Simplify the result.
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Simplify each term.
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Cancel the common factor of 2.
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Cancel the common factor.
f(2)=-5⋅22+3
Divide 5 by 1.
f(2)=-1⋅5+3
f(2)=-1⋅5+3
Multiply -1 by 5.
f(2)=-5+3
f(2)=-5+3
Add -5 and 3.
f(2)=-2
The final answer is -2.
-2
-2
The y value at x=2 is -2.
y=-2
y=-2
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)2+3
Simplify the result.
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Simplify each term.
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Cancel the common factor of 0 and 2.
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Factor 2 out of 5(0).
f(0)=-2(5⋅(0))2+3
Cancel the common factors.
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Factor 2 out of 2.
f(0)=-2(5⋅(0))2(1)+3
Cancel the common factor.
f(0)=-2(5⋅(0))2⋅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
Create a table of the x and y values.
xy032-2
xy032-2
Graph the line using the slope and the y-intercept, or the points.
Slope: -52
y-intercept: 3
xy032-2
Graph y=-5/2x+3

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