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4th answer is correct

Step-by-step explanation:

The formula to find the slope of a line is :

m =

In the question, they have given 2 coordinates of the line.

They are,

( -2 , - 9 ) ⇒ ( x₁ , y₁ )

( -1 , -3 ) ⇒ ( x₂ , y₂ )

Let us solve now.

m =

m =

m =

m =

m = 6

Hope this helps you :-)

Let me know if you have any other questions :-)

We know that,

Subsitute the required values, we get

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )