Question

Find the slope and y-intercept.-2x + 3y = 21

Answer 1

Rewrite it as

y = (2/3)

Answer 2

That last answer got sent before I was done. Rewrite the equation as

y = (2/3)x + 7
Compare to the standard form y = mx + b,
where m is the slope and b is the y-intercept

Answer 3

so the y-intercept is 7

Answer 4

Yes, and the slope is 2/3

Answer 5

[AI-generated answer — Explain Bot]

To find the slope and y-intercept of the equation -2x + 3y = 21, we need to rearrange the equation into slope-intercept form, which has the form of y = mx + b. In this form, m represents the slope and b represents the y-intercept.

Let's start by isolating y on one side of the equation:

-2x + 3y = 21

First, let's move the -2x term to the right side by adding 2x to both sides:

3y = 2x + 21

Next, to solve for y, divide every term by 3:

y = (2/3)x + 7

Now we can see that the equation is in slope-intercept form, y = mx + b, where m = 2/3 is the slope, and b = 7 is the y-intercept.

So, the slope of -2x + 3y = 21 is 2/3, and the y-intercept is 7.