x+4y=0
Subtract x from both sides of the equation.
4y=-x
Divide each term by 4 and simplify.
Divide each term in 4y=-x by 4.
4y4=-x4
Cancel the common factor of 4.
Cancel the common factor.
4y4=-x4
Divide y by 1.
y=-x4
y=-x4
Move the negative in front of the fraction.
y=-x4
y=-x4
y=-x4
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=-14
b=0
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -14
y-intercept: 0
Slope: -14
y-intercept: 0
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=-04
Simplify the result.
Divide 0 by 4.
f(0)=-0
Multiply -1 by 0.
f(0)=0
The final answer is 0.
0
0
The y value at x=0 is 0.
y=0
y=0
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-14
The final answer is -14.
-14
The y value at x=1 is -14.
y=-14
y=-14
Create a table of the x and y values.
xy001-14
xy001-14
Graph the line using the slope and the y-intercept, or the points.
Slope: -14
y-intercept: 0
xy001-14
Graph x+4y=0
