# Graph -7x-6y=5 -7x-6y=5
Solve for y.
Add 7x to both sides of the equation.
-6y=5+7x
Divide each term by -6 and simplify.
Divide each term in -6y=5+7x by -6.
-6y-6=5-6+7x-6
Cancel the common factor of -6.
Cancel the common factor.
-6y-6=5-6+7x-6
Divide y by 1.
y=5-6+7x-6
y=5-6+7x-6
Simplify each term.
Move the negative in front of the fraction.
y=-56+7x-6
Move the negative in front of the fraction.
y=-56-7×6
y=-56-7×6
y=-56-7×6
y=-56-7×6
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 -56 and -7×6.
y=-7×6-56
Rewrite in slope-intercept form.
y=-76x-56
y=-76x-56
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=-76
b=-56
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -76
y-intercept: -56
Slope: -76
y-intercept: -56
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)=-7(1)6-56
Simplify the result.
Multiply 7 by 1.
f(1)=-76-56
Combine the numerators over the common denominator.
f(1)=-7-56
Subtract 5 from -7.
f(1)=-126
Divide -12 by 6.
f(1)=-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)=-7(0)6-56
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 6.
Factor 6 out of 7(0).
f(0)=-6(7⋅(0))6-56
Cancel the common factors.
Factor 6 out of 6.
f(0)=-6(7⋅(0))6(1)-56
Cancel the common factor.
f(0)=-6(7⋅(0))6⋅1-56
Rewrite the expression.
f(0)=-7⋅(0)1-56
Divide 7⋅(0) by 1.
f(0)=-(7⋅(0))-56
f(0)=-(7⋅(0))-56
f(0)=-(7⋅(0))-56
Multiply 7 by 0.
f(0)=-0-56
Multiply -1 by 0.
f(0)=0-56
f(0)=0-56
Subtract 56 from 0.
f(0)=-56
-56
-56
The y value at x=0 is -56.
y=-56
y=-56
Create a table of the x and y values.
xy0-561-2
xy0-561-2
Graph the line using the slope and the y-intercept, or the points.
Slope: -76
y-intercept: -56
xy0-561-2
Graph -7x-6y=5     