The equation has a positive slope and a negative y-intercept.

hangobw6h

hangobw6h

Answered question

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

Answer & Explanation

rygynguo0rk

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.

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