# Graph 10x-5y+8=0

10x-5y+8=0
Solve for y.
Move all terms not containing y to the right side of the equation.
Subtract 10x from both sides of the equation.
-5y+8=-10x
Subtract 8 from both sides of the equation.
-5y=-10x-8
-5y=-10x-8
Divide each term by -5 and simplify.
Divide each term in -5y=-10x-8 by -5.
-5y-5=-10x-5+-8-5
Cancel the common factor of -5.
Cancel the common factor.
-5y-5=-10x-5+-8-5
Divide y by 1.
y=-10x-5+-8-5
y=-10x-5+-8-5
Simplify each term.
Cancel the common factor of -10 and -5.
Factor -5 out of -10x.
y=-5(2x)-5+-8-5
Cancel the common factors.
Factor -5 out of -5.
y=-5(2x)-5(1)+-8-5
Cancel the common factor.
y=-5(2x)-5⋅1+-8-5
Rewrite the expression.
y=2×1+-8-5
Divide 2x by 1.
y=2x+-8-5
y=2x+-8-5
y=2x+-8-5
Dividing two negative values results in a positive value.
y=2x+85
y=2x+85
y=2x+85
y=2x+85
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Find the values of m and b using the form y=mx+b.
m=2
b=85
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 2
y-intercept: 85
Slope: 2
y-intercept: 85
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)=2(0)+85
Simplify the result.
Multiply 2 by 0.
f(0)=0+85
f(0)=85
85
85
The y value at x=0 is 85.
y=85
y=85
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=2(1)+85
Simplify the result.
Multiply 2 by 1.
f(1)=2+85
To write 2 as a fraction with a common denominator, multiply by 55.
f(1)=2⋅55+85
Combine 2 and 55.
f(1)=2⋅55+85
Combine the numerators over the common denominator.
f(1)=2⋅5+85
Simplify the numerator.
Multiply 2 by 5.
f(1)=10+85
f(1)=185
f(1)=185
185
185
The y value at x=1 is 185.
y=185
y=185
Create a table of the x and y values.
xy0851185
xy0851185
Graph the line using the slope and the y-intercept, or the points.
Slope: 2
y-intercept: 85
xy0851185
Graph 10x-5y+8=0