Graph x+4y=7

Math
x+4y=7
Solve for y.
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Subtract x from both sides of the equation.
4y=7-x
Divide each term by 4 and simplify.
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Divide each term in 4y=7-x by 4.
4y4=74+-x4
Cancel the common factor of 4.
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Cancel the common factor.
4y4=74+-x4
Divide y by 1.
y=74+-x4
y=74+-x4
Move the negative in front of the fraction.
y=74-x4
y=74-x4
y=74-x4
Rewrite in slope-intercept form.
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The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder 74 and -x4.
y=-x4+74
Rewrite in slope-intercept form.
y=-14x+74
y=-14x+74
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of m and b using the form y=mx+b.
m=-14
b=74
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -14
y-intercept: 74
Slope: -14
y-intercept: 74
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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Choose 3 to substitute in for x to find the ordered pair.
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Replace the variable x with 3 in the expression.
f(3)=-34+74
Simplify the result.
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Combine the numerators over the common denominator.
f(3)=-3+74
Add -3 and 7.
f(3)=44
Divide 4 by 4.
f(3)=1
The final answer is 1.
1
1
The y value at x=3 is 1.
y=1
y=1
Choose 0 to substitute in for x to find the ordered pair.
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Replace the variable x with 0 in the expression.
f(0)=-04+74
Simplify the result.
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Combine the numerators over the common denominator.
f(0)=0+74
Add 0 and 7.
f(0)=74
The final answer is 74.
74
74
The y value at x=0 is 74.
y=74
y=74
Create a table of the x and y values.
xy07431
xy07431
Graph the line using the slope and the y-intercept, or the points.
Slope: -14
y-intercept: 74
xy07431
Graph x+4y=7

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