# Graph -x+4y=8 -x+4y=8
Solve for y.
Add x to both sides of the equation.
4y=8+x
Divide each term by 4 and simplify.
Divide each term in 4y=8+x by 4.
4y4=84+x4
Cancel the common factor of 4.
Cancel the common factor.
4y4=84+x4
Divide y by 1.
y=84+x4
y=84+x4
Divide 8 by 4.
y=2+x4
y=2+x4
y=2+x4
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder 2 and x4.
y=x4+2
Rewrite in slope-intercept form.
y=14x+2
y=14x+2
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=14
b=2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 14
y-intercept: 2
Slope: 14
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)=04+2
Simplify the result.
Divide 0 by 4.
f(0)=0+2
Add 0 and 2.
f(0)=2
The final answer is 2.
2
2
The y value at x=0 is 2.
y=2
y=2
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=14+2
Simplify the result.
To write 2 as a fraction with a common denominator, multiply by 44.
f(1)=14+2⋅44
Combine 2 and 44.
f(1)=14+2⋅44
Combine the numerators over the common denominator.
f(1)=1+2⋅44
Simplify the numerator.
Multiply 2 by 4.
f(1)=1+84
Add 1 and 8.
f(1)=94
f(1)=94
The final answer is 94.
94
94
The y value at x=1 is 94.
y=94
y=94
Create a table of the x and y values.
xy02194
xy02194
Graph the line using the slope and the y-intercept, or the points.
Slope: 14
y-intercept: 2
xy02194
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