5y+4x=29

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

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

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

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

Add -4 and 29.

f(1)=255

Divide 25 by 5.

f(1)=5

The final answer is 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

Add -12 and 29.

f(3)=175

The final answer is 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