Graph 8x-2y=8

Math
8x-2y=8
Solve for y.
Tap for more steps…
Subtract 8x from both sides of the equation.
-2y=8-8x
Divide each term by -2 and simplify.
Tap for more steps…
Divide each term in -2y=8-8x by -2.
-2y-2=8-2+-8x-2
Cancel the common factor of -2.
Tap for more steps…
Cancel the common factor.
-2y-2=8-2+-8x-2
Divide y by 1.
y=8-2+-8x-2
y=8-2+-8x-2
Simplify each term.
Tap for more steps…
Divide 8 by -2.
y=-4+-8x-2
Cancel the common factor of -8 and -2.
Tap for more steps…
Factor -2 out of -8x.
y=-4+-2(4x)-2
Cancel the common factors.
Tap for more steps…
Factor -2 out of -2.
y=-4+-2(4x)-2(1)
Cancel the common factor.
y=-4+-2(4x)-2⋅1
Rewrite the expression.
y=-4+4×1
Divide 4x by 1.
y=-4+4x
y=-4+4x
y=-4+4x
y=-4+4x
y=-4+4x
y=-4+4x
Rewrite in slope-intercept form.
Tap for more steps…
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder -4 and 4x.
y=4x-4
y=4x-4
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps…
Find the values of m and b using the form y=mx+b.
m=4
b=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 4
y-intercept: -4
Slope: 4
y-intercept: -4
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Tap for more steps…
Choose 1 to substitute in for x to find the ordered pair.
Tap for more steps…
Replace the variable x with 1 in the expression.
f(1)=4(1)-4
Simplify the result.
Tap for more steps…
Multiply 4 by 1.
f(1)=4-4
Subtract 4 from 4.
f(1)=0
The final answer is 0.
0
0
The y value at x=1 is 0.
y=0
y=0
Choose 0 to substitute in for x to find the ordered pair.
Tap for more steps…
Replace the variable x with 0 in the expression.
f(0)=4(0)-4
Simplify the result.
Tap for more steps…
Multiply 4 by 0.
f(0)=0-4
Subtract 4 from 0.
f(0)=-4
The final answer is -4.
-4
-4
The y value at x=0 is -4.
y=-4
y=-4
Create a table of the x and y values.
xy0-410
xy0-410
Graph the line using the slope and the y-intercept, or the points.
Slope: 4
y-intercept: -4
xy0-410
Graph 8x-2y=8

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top