what is the slope of the line through (0,-2) and (3,-4).

Question

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Answer 1

(0, -2) and (3, -4) have a line through them with slope = change in y over change in x

= -2/3

line's equation is

y +2 = (-2/3)x in point slope form

or

y = -2x/3 -2 in slope intercept form

or

2x+3y = -6 in standard form

Answer 2

Answer 3

Hi! I'm so glad you decided to check us out!

As for your question, the formula for finding the slope of a line is:

m = (y₂ - y₁) / (x₂ - x₁)

In the formula above, 'm' stands for slope.

Our first step will be to examine your problem, and we notice that you were given two points:

Point 1: (0, -2)

Point 2: (3, -4)

As we know, each point has an 'x' value, and a 'y' value:

x y

Point 1: (0, -2)

x y

Point 2: (3, -4)

Keeping this in mind, when we look back at our formula, we need to see it in terms of the 'x' and 'y' values for each point.

x₁ y₁

Point 1: (0, -2)

x₂ y₂

Point 2: (3, -4)

If you notice from our formula, each 'x' and 'y' was marked by either '1' or '2'. This is to show where we are to place the individual 'x' and 'y' values from each point, Point 1 and Point 2. Now, let's insert our 'x' and 'y' values into the formula.

m = (-4 - (-2)) / (3 - 0)

Next, we simply work each subtraction problem.

m = (-2) / (3)

Lastly, if the fraction can be simplified or reduced, that would be our final step. However, since this fraction is already in its simplest form, we have reached our final answer for this problem.

m = -2/3

I hope this was helpful! If you have any further questions, or need me to clarify anything, please let me know! I'm happy to help!