# Graph 15y+x=50 15y+x=50
Solve for y.
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
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 103 and -x15.
y=-x15+103
Rewrite in slope-intercept form.
y=-115x+103
y=-115x+103
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=-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
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 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
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