# Graph y=-4/5x-4

y=-45x-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=-45
b=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -45
y-intercept: -4
Slope: -45
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)=-4(0)5-4
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 5.
Factor 5 out of 4(0).
f(0)=-5(4⋅(0))5-4
Cancel the common factors.
Factor 5 out of 5.
f(0)=-5(4⋅(0))5(1)-4
Cancel the common factor.
f(0)=-5(4⋅(0))5⋅1-4
Rewrite the expression.
f(0)=-4⋅(0)1-4
Divide 4⋅(0) by 1.
f(0)=-(4⋅(0))-4
f(0)=-(4⋅(0))-4
f(0)=-(4⋅(0))-4
Multiply 4 by 0.
f(0)=-0-4
Multiply -1 by 0.
f(0)=0-4
f(0)=0-4
Subtract 4 from 0.
f(0)=-4
-4
-4
The y value at x=0 is -4.
y=-4
y=-4
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-4(1)5-4
Simplify the result.
Multiply 4 by 1.
f(1)=-45-4
To write -4 as a fraction with a common denominator, multiply by 55.
f(1)=-45-4⋅55
Combine -4 and 55.
f(1)=-45+-4⋅55
Combine the numerators over the common denominator.
f(1)=-4-4⋅55
Simplify the numerator.
Multiply -4 by 5.
f(1)=-4-205
Subtract 20 from -4.
f(1)=-245
f(1)=-245
Move the negative in front of the fraction.
f(1)=-245
-245
-245
The y value at x=1 is -245.
y=-245
y=-245
Create a table of the x and y values.
xy0-41-245
xy0-41-245
Graph the line using the slope and the y-intercept, or the points.
Slope: -45
y-intercept: -4
xy0-41-245
Graph y=-4/5x-4