# Graph -15x+5y=75 -15x+5y=75
Solve for y.
Add 15x to both sides of the equation.
5y=75+15x
Divide each term by 5 and simplify.
Divide each term in 5y=75+15x by 5.
5y5=755+15×5
Cancel the common factor of 5.
Cancel the common factor.
5y5=755+15×5
Divide y by 1.
y=755+15×5
y=755+15×5
Simplify each term.
Divide 75 by 5.
y=15+15×5
Cancel the common factor of 15 and 5.
Factor 5 out of 15x.
y=15+5(3x)5
Cancel the common factors.
Factor 5 out of 5.
y=15+5(3x)5(1)
Cancel the common factor.
y=15+5(3x)5⋅1
Rewrite the expression.
y=15+3×1
Divide 3x by 1.
y=15+3x
y=15+3x
y=15+3x
y=15+3x
y=15+3x
y=15+3x
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 15 and 3x.
y=3x+15
y=3x+15
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=3
b=15
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 3
y-intercept: 15
Slope: 3
y-intercept: 15
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)=3(0)+15
Simplify the result.
Multiply 3 by 0.
f(0)=0+15
f(0)=15
15
15
The y value at x=0 is 15.
y=15
y=15
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=3(1)+15
Simplify the result.
Multiply 3 by 1.
f(1)=3+15
f(1)=18
18
18
The y value at x=1 is 18.
y=18
y=18
Create a table of the x and y values.
xy015118
xy015118
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
y-intercept: 15
xy015118
Graph -15x+5y=75     