# Graph 5y+4x=29

5y+4x=29
Solve for y.
Subtract 4x from both sides of the equation.
5y=29-4x
Divide each term by 5 and simplify.
Divide each term in 5y=29-4x by 5.
5y5=295+-4×5
Cancel the common factor of 5.
Cancel the common factor.
5y5=295+-4×5
Divide y by 1.
y=295+-4×5
y=295+-4×5
Move the negative in front of the fraction.
y=295-4×5
y=295-4×5
y=295-4×5
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 295 and -4×5.
y=-4×5+295
Rewrite in slope-intercept form.
y=-45x+295
y=-45x+295
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=-45
b=295
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -45
y-intercept: 295
Slope: -45
y-intercept: 295
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 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+295
Simplify the result.
Multiply 4 by 1.
f(1)=-45+295
Combine the numerators over the common denominator.
f(1)=-4+295
f(1)=255
Divide 25 by 5.
f(1)=5
5
5
The y value at x=1 is 5.
y=5
y=5
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=-4(3)5+295
Simplify the result.
Multiply 4 by 3.
f(3)=-125+295
Combine the numerators over the common denominator.
f(3)=-12+295
f(3)=175
175
175
The y value at x=3 is 175.
y=175
y=175
Create a table of the x and y values.
xy153175
xy153175
Graph the line using the slope and the y-intercept, or the points.
Slope: -45
y-intercept: 295
xy153175
Graph 5y+4x=29