Help me! I am 10 grade but I had always had a problem with slope!

Question

Finding the Slope from Points

What is the slope of the line that passes through the points (−10,−4) and (10,−29)? Write your answer in simplest form.

Answer 1

Now is the time to stop having this problem. Slope is nothing more than the change in y divided by the change in x

y goes from -29 to -4 -29 -(-4) = -25

x goes from 10 to -10. 10-(-10) = 20

so slope is -25/20 which reduces to -5/4

Thats all there is to it

Answer 2

The slope of a line measures how steep it is. Think of a hill. On flat ground, there is no slope, so the slope is zero. On a very steep hill with a slope of 1, it means that for every step forward you go, you also go up one step. So the slope measures how far up or down you go as you move a given distance horizontally. We often say that the slope is the "rise" (vertical distance) divided by the "run" (horizontal distance).

Given two points, (x₁,y₁) and (x₂,y₂), the x's are the horizontal coordinate (run) and the y's are the vertical coordinate (rise). The slope is designated by the symbol m and its formula is:

m = (y₂-y₁) / (x₂-x₁)

You are given two points, so plug them into the formula to get the slope. It doesn't matter which one is (x₁,y₁) and which is (x₂,y₂); you'll get the same answer.