# Graph x+4y=16 x+4y=16
Solve for y.
Subtract x from both sides of the equation.
4y=16-x
Divide each term by 4 and simplify.
Divide each term in 4y=16-x by 4.
4y4=164+-x4
Cancel the common factor of 4.
Cancel the common factor.
4y4=164+-x4
Divide y by 1.
y=164+-x4
y=164+-x4
Simplify each term.
Divide 16 by 4.
y=4+-x4
Move the negative in front of the fraction.
y=4-x4
y=4-x4
y=4-x4
y=4-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 4 and -x4.
y=-x4+4
Rewrite in slope-intercept form.
y=-14x+4
y=-14x+4
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=4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -14
y-intercept: 4
Slope: -14
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)=-04+4
Simplify the result.
Simplify each term.
Divide 0 by 4.
f(0)=-0+4
Multiply -1 by 0.
f(0)=0+4
f(0)=0+4
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)=-14+4
Simplify the result.
To write 4 as a fraction with a common denominator, multiply by 44.
f(1)=-14+4⋅44
Combine 4 and 44.
f(1)=-14+4⋅44
Combine the numerators over the common denominator.
f(1)=-1+4⋅44
Simplify the numerator.
Multiply 4 by 4.
f(1)=-1+164
f(1)=154
f(1)=154
154
154
The y value at x=1 is 154.
y=154
y=154
Create a table of the x and y values.
xy041154
xy041154
Graph the line using the slope and the y-intercept, or the points.
Slope: -14
y-intercept: 4
xy041154
Graph x+4y=16     