Graph 5y-5=-4x

5y-5=-4x
Solve for y.
Add 5 to both sides of the equation.
5y=-4x+5
Divide each term by 5 and simplify.
Divide each term in 5y=-4x+5 by 5.
5y5=-4×5+55
Cancel the common factor of 5.
Cancel the common factor.
5y5=-4×5+55
Divide y by 1.
y=-4×5+55
y=-4×5+55
Simplify each term.
Move the negative in front of the fraction.
y=-(4)x5+55
Divide 5 by 5.
y=-4×5+1
y=-4×5+1
y=-4×5+1
y=-4×5+1
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=1
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -45
y-intercept: 1
Slope: -45
y-intercept: 1
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+1
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+1
Cancel the common factors.
Factor 5 out of 5.
f(0)=-5(4⋅(0))5(1)+1
Cancel the common factor.
f(0)=-5(4⋅(0))5⋅1+1
Rewrite the expression.
f(0)=-4⋅(0)1+1
Divide 4⋅(0) by 1.
f(0)=-(4⋅(0))+1
f(0)=-(4⋅(0))+1
f(0)=-(4⋅(0))+1
Multiply 4 by 0.
f(0)=-0+1
Multiply -1 by 0.
f(0)=0+1
f(0)=0+1
f(0)=1
1
1
The y value at x=0 is 1.
y=1
y=1
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+1
Simplify the result.
Multiply 4 by 1.
f(1)=-45+1
Simplify the expression.
Write 1 as a fraction with a common denominator.
f(1)=-45+55
Combine the numerators over the common denominator.
f(1)=-4+55
f(1)=-4+55
f(1)=15
15
15
The y value at x=1 is 15.
y=15
y=15
Create a table of the x and y values.
xy01115
xy01115
Graph the line using the slope and the y-intercept, or the points.
Slope: -45
y-intercept: 1
xy01115
Graph 5y-5=-4x