# Graph y=-5/8x+4 y=-58x+4
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=-58
b=4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -58
y-intercept: 4
Slope: -58
y-intercept: 4
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)8+4
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 8.
Factor 8 out of 5(0).
f(0)=-8(5⋅(0))8+4
Cancel the common factors.
Factor 8 out of 8.
f(0)=-8(5⋅(0))8(1)+4
Cancel the common factor.
f(0)=-8(5⋅(0))8⋅1+4
Rewrite the expression.
f(0)=-5⋅(0)1+4
Divide 5⋅(0) by 1.
f(0)=-(5⋅(0))+4
f(0)=-(5⋅(0))+4
f(0)=-(5⋅(0))+4
Multiply 5 by 0.
f(0)=-0+4
Multiply -1 by 0.
f(0)=0+4
f(0)=0+4
Add 0 and 4.
f(0)=4
The final answer is 4.
4
4
The y value at x=0 is 4.
y=4
y=4
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)8+4
Simplify the result.
Cancel the common factor of 2 and 8.
Factor 2 out of 5(2).
f(2)=-2⋅58+4
Cancel the common factors.
Factor 2 out of 8.
f(2)=-2⋅52⋅4+4
Cancel the common factor.
f(2)=-2⋅52⋅4+4
Rewrite the expression.
f(2)=-54+4
f(2)=-54+4
f(2)=-54+4
To write 4 as a fraction with a common denominator, multiply by 44.
f(2)=-54+4⋅44
Combine 4 and 44.
f(2)=-54+4⋅44
Combine the numerators over the common denominator.
f(2)=-5+4⋅44
Simplify the numerator.
Multiply 4 by 4.
f(2)=-5+164
Add -5 and 16.
f(2)=114
f(2)=114
The final answer is 114.
114
114
The y value at x=2 is 114.
y=114
y=114
Create a table of the x and y values.
xy042114
xy042114
Graph the line using the slope and the y-intercept, or the points.
Slope: -58
y-intercept: 4
xy042114
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