Aline is drawn so that it passes through the points (-3, -1) and (4, 2).

a. what is the slope of the line?

b. using the point (4, 2) and the slope found above, write the equation of the line in point-slope form.

note: you can write fractions like this: (2/5)

(A)

(B)

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope =

M =

Y intercept

Plug in

Isolate B

b =

(B) 4 = x, 2 = y

2 = 3/7 * 4 + 2/7

m=3/7, y=3/7x+2/7

Step-by-step explanation:

The formula for the slope is:

     y₂-y₁

m=

      x₂-x₁

Our first coordinate pair is:

(-3,-1) . -3 is our x₁ and -1 is our y₁ .

Our second coordinate pair is:

(4,2) . 4 is our x₂ and 2 y₂ .

We can substitute our numbers into the original equation and simplify:

     2-(-1)      3

m= =

     4-(-3)     7

Ok, now that we know our slope, we can find the equation...

Substitute in your slope and any coordinate pair into y=mx+b: (I'll be using (4,2) as my coordinate pair.)

2=(3/7)(4)+b

Then solve:

(3/7) x (4/1) = 12/7

2=12/7+b

2/1-12/7=b

2/7=b

Now that we have our slope and our y-intercept, we can FINALLY make an equation:

y=3/7x+2/7

That's a lot of work, but I hope I helped!

                                                     :)

32

step-by-step explanation: