# Graph 2x-5y=12 2x-5y=12
Solve for y.
Subtract 2x from both sides of the equation.
-5y=12-2x
Divide each term by -5 and simplify.
Divide each term in -5y=12-2x by -5.
-5y-5=12-5+-2x-5
Cancel the common factor of -5.
Cancel the common factor.
-5y-5=12-5+-2x-5
Divide y by 1.
y=12-5+-2x-5
y=12-5+-2x-5
Simplify each term.
Move the negative in front of the fraction.
y=-125+-2x-5
Dividing two negative values results in a positive value.
y=-125+2×5
y=-125+2×5
y=-125+2×5
y=-125+2×5
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 -125 and 2×5.
y=2×5-125
Rewrite in slope-intercept form.
y=25x-125
y=25x-125
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=25
b=-125
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 25
y-intercept: -125
Slope: 25
y-intercept: -125
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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=2(1)5-125
Simplify the result.
Multiply 2 by 1.
f(1)=25-125
Combine the numerators over the common denominator.
f(1)=2-125
Subtract 12 from 2.
f(1)=-105
Divide -10 by 5.
f(1)=-2
The final answer is -2.
-2
-2
The y value at x=1 is -2.
y=-2
y=-2
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)5-125
Simplify the result.
Multiply 2 by 0.
f(0)=05-125
Combine the numerators over the common denominator.
f(0)=0-125
Subtract 12 from 0.
f(0)=-125
Move the negative in front of the fraction.
f(0)=-125
The final answer is -125.
-125
-125
The y value at x=0 is -125.
y=-125
y=-125
Create a table of the x and y values.
xy0-1251-2
xy0-1251-2
Graph the line using the slope and the y-intercept, or the points.
Slope: 25
y-intercept: -125
xy0-1251-2
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