Transform the linear equation 4x−8y=24 to slope-intercept form.

Answer 1

To transform the equation from standard form to slope-intercept form, we need to isolate the y variable on one side of the equation.

Starting with the given equation:

4x - 8y = 24

Let's isolate the y term by moving the 4x term to the other side of the equation:

-8y = -4x + 24

Now, divide both sides of the equation by -8 to solve for y:

y = (-4x + 24)/(-8)

Simplifying the right side of the equation:

y = (-1/2)x + 3

The transformed equation in slope-intercept form is:

y = (-1/2)x + 3.

Answer 2

Slope-Intercept Form Quick Check
1 of 51 of 5 Items
Question
Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses

4x−8y−24=0
4 x minus 8 y minus 24 equals 0

−8y=−4x+24
negative 8 y equals negative 4 x plus 24

4x−8y=24
4 x minus 8 y equals 24

y=1/2x−3

Answer 3

That is correct! The transformed equation in slope-intercept form is y = (1/2)x - 3. Well done!

Answer 4

Write y−2=3/2(x+2) in slope-intercept form.(1 point)
Responses

y=3/2x+3/2
y=3/2x+6
y=3/2+5x
y=3/2x+5

Answer 5

To write the equation y - 2 = (3/2)(x + 2) in slope-intercept form, we need to simplify and isolate the y variable.

First, let's distribute the (3/2) to both terms inside the parentheses:

y - 2 = (3/2)(x) + (3/2)(2)
y - 2 = (3/2)x + 3

Now, let's move the -2 term to the other side of the equation to isolate the y term:

y = (3/2)x + 3 + 2

Simplifying:

y = (3/2)x + 5

Therefore, the equation in slope-intercept form is y = (3/2)x + 5.