hangobw6h

2023-03-23

The equation has a positive slope and a negativey-intercept.

1) y=−2x−3

2) y=2−3x

3) y=2+3x

4) y=−2+3x

1) y=−2x−3

2) y=2−3x

3) y=2+3x

4) y=−2+3x

rygynguo0rk

Beginner2023-03-24Added 13 answers

The correct answer is 4: y=-2+3x

We know that equation of the line with y-intercept of the value b is,

y=mx+b

Here, m represents the slope of the line.

Let us now consider each of the options presented.

In case of first option:

Given equation is y=2+3x.

Here, m=3 and b=2

Thus, it has both a positive slope and a positive y-intercept.

In the case of the second option:

Given equation is y=−2+3x.

Here, m=3 and b=−2

So, it has a positive slope and a negative y-intercept.

In case of third option:

Given equation is y=−2x−3.

Here, m=−2 and b=−3

So, it has both a negative slope and a negative y-intercept.

In case of fourth option:

Given equation is y=2−3x.

Here, m = -3 and b = 2

Then, it has a negative slope and positive y-intercept.

∴ y=−2+3x has a positive slope and a negative intercept.

We know that equation of the line with y-intercept of the value b is,

y=mx+b

Here, m represents the slope of the line.

Let us now consider each of the options presented.

In case of first option:

Given equation is y=2+3x.

Here, m=3 and b=2

Thus, it has both a positive slope and a positive y-intercept.

In the case of the second option:

Given equation is y=−2+3x.

Here, m=3 and b=−2

So, it has a positive slope and a negative y-intercept.

In case of third option:

Given equation is y=−2x−3.

Here, m=−2 and b=−3

So, it has both a negative slope and a negative y-intercept.

In case of fourth option:

Given equation is y=2−3x.

Here, m = -3 and b = 2

Then, it has a negative slope and positive y-intercept.

∴ y=−2+3x has a positive slope and a negative intercept.

Read carefully and choose only one option

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