# Graph y=-5/2x-2 y=-52x-2
Use the slope-intercept form to find the slope and y-intercept.
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=-2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -52
y-intercept: -2
Slope: -52
y-intercept: -2
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=-5(0)2-2
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 2.
Factor 2 out of 5(0).
f(0)=-2(5⋅(0))2-2
Cancel the common factors.
Factor 2 out of 2.
f(0)=-2(5⋅(0))2(1)-2
Cancel the common factor.
f(0)=-2(5⋅(0))2⋅1-2
Rewrite the expression.
f(0)=-5⋅(0)1-2
Divide 5⋅(0) by 1.
f(0)=-(5⋅(0))-2
f(0)=-(5⋅(0))-2
f(0)=-(5⋅(0))-2
Multiply 5 by 0.
f(0)=-0-2
Multiply -1 by 0.
f(0)=0-2
f(0)=0-2
Subtract 2 from 0.
f(0)=-2
-2
-2
The y value at x=0 is -2.
y=-2
y=-2
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=-5(2)2-2
Simplify the result.
Simplify each term.
Cancel the common factor of 2.
Cancel the common factor.
f(2)=-5⋅22-2
Divide 5 by 1.
f(2)=-1⋅5-2
f(2)=-1⋅5-2
Multiply -1 by 5.
f(2)=-5-2
f(2)=-5-2
Subtract 2 from -5.
f(2)=-7
-7
-7
The y value at x=2 is -7.
y=-7
y=-7
Create a table of the x and y values.
xy0-22-7
xy0-22-7
Graph the line using the slope and the y-intercept, or the points.
Slope: -52
y-intercept: -2
xy0-22-7
Graph y=-5/2x-2     