Slope-Intercept Form Practice

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Question
Transform the linear equation −2y=14−6x to slope-intercept form.(1 point)
y=

3x - 7

?

To transform the linear equation −2y = 14 − 6x to slope-intercept form, you need to solve for y.

First, divide both sides of the equation by -2 to isolate y:

-2y = 14 - 6x
y = (14 - 6x)/-2

Next, simplify the right side of the equation:

y = -7 + 3x

Therefore, the equation in slope-intercept form is y = 3x - 7.

write 0.4x + 0.2y = 0.4 in slope-intercept form.

To write the equation 0.4x + 0.2y = 0.4 in slope-intercept form, we need to isolate y.

First, subtract 0.4x from both sides of the equation:

0.2y = -0.4x + 0.4

Next, divide both sides of the equation by 0.2 to solve for y:

y = (-0.4x + 0.4)/0.2

Simplifying the right side of the equation:

y = -2x + 2

Therefore, the equation in slope-intercept form is y = -2x + 2.

no

I apologize for the mistake in my previous response. Let's correct the equation:

To write the equation 0.4x + 0.2y = 0.4 in slope-intercept form, we need to isolate y by subtracting 0.4x from both sides of the equation:

0.2y = -0.4x + 0.4

Now, divide both sides of the equation by 0.2:

y = (-0.4x + 0.4) / 0.2

Simplify the right side of the equation:

y = -2x + 2

Therefore, the equation in slope-intercept form is y = -2x + 2.

Write the linear equation 3y=6x−18 in slope-intercept form.

To write the linear equation 3y = 6x - 18 in slope-intercept form, we need to isolate y.

First, divide both sides of the equation by 3 to solve for y:

y = (6x - 18)/3

Next, simplify the right side of the equation:

y = 2x - 6

Therefore, the equation in slope-intercept form is y = 2x - 6.

What is the slope and the y-intercept of the equation 9+272x=−32y. Write the y-intercept as an ordered pair.(1 point)

The slope is ?. The y-intercept is (?).