15y+x=50

Subtract x from both sides of the equation.

15y=50-x

Divide each term by 15 and simplify.

Divide each term in 15y=50-x by 15.

15y15=5015+-x15

Cancel the common factor of 15.

Cancel the common factor.

15y15=5015+-x15

Divide y by 1.

y=5015+-x15

y=5015+-x15

Simplify each term.

Cancel the common factor of 50 and 15.

Factor 5 out of 50.

y=5(10)15+-x15

Cancel the common factors.

Factor 5 out of 15.

y=5⋅105⋅3+-x15

Cancel the common factor.

y=5⋅105⋅3+-x15

Rewrite the expression.

y=103+-x15

y=103+-x15

y=103+-x15

Move the negative in front of the fraction.

y=103-x15

y=103-x15

y=103-x15

y=103-x15

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder 103 and -x15.

y=-x15+103

Rewrite in slope-intercept form.

y=-115x+103

y=-115x+103

Find the values of m and b using the form y=mx+b.

m=-115

b=103

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: -115

y-intercept: 103

Slope: -115

y-intercept: 103

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=-015+103

Simplify the result.

Simplify each term.

Divide 0 by 15.

f(0)=-0+103

Multiply -1 by 0.

f(0)=0+103

f(0)=0+103

Add 0 and 103.

f(0)=103

The final answer is 103.

103

103

The y value at x=0 is 103.

y=103

y=103

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=-115+103

Simplify the result.

To write 103 as a fraction with a common denominator, multiply by 55.

f(1)=-115+103⋅55

Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.

Multiply 103 and 55.

f(1)=-115+10⋅53⋅5

Multiply 3 by 5.

f(1)=-115+10⋅515

f(1)=-115+10⋅515

Combine the numerators over the common denominator.

f(1)=-1+10⋅515

Simplify the numerator.

Multiply 10 by 5.

f(1)=-1+5015

Add -1 and 50.

f(1)=4915

f(1)=4915

The final answer is 4915.

4915

4915

The y value at x=1 is 4915.

y=4915

y=4915

Create a table of the x and y values.

xy010314915

xy010314915

Graph the line using the slope and the y-intercept, or the points.

Slope: -115

y-intercept: 103

xy010314915

Graph 15y+x=50