Respuesta :

Hello!

First, let's find the slope. We will need to find our two points, which are (-1,-2) and (3,-4). We divide the difference in the y-values by the difference in the x-values.

[tex] \frac{-4+2}{3+1} =-\frac{2}{4} =-\frac{1}{2} [/tex]

Therefore, our slope is -1/2.

Now, we need to find the y-intercept, which, on the graph, appears to be -2.5. Just to check, we will plug a point into the equation and solve for b.

-4=-1/2(3)+b

-4=-1.5+b

b= -2.5

Therefore, our equation is below.

y= -1/2x-2.5

I hope this helps!

altavistard

Recording the coordinates of the two red dots, we get (-1,-2) and (3,-4).

The slope of the line through these two points is:

-4 + 2 -2

m = ----------------- = ------------- = -1/2

3 - (-1) 4

Substitute this slope and the coordinates of point (3,-4) into y = mx + b to determine the y-intercept (b):

-4 = (-1/2)(3) + b This simplifies to -4 + 3/2 = b, so that b = -5/2

Thus, the equation of this line is y = (-1/2)x - 5/2

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