Question

Finding the Slope of a Line Given a Table

Try it
Find the slope of the line that passes through the points
shown in the table.
The slope of the line that passes through the points in
the table is
2
y
-14
8
-7
6
0
4
7
2
14
0
Intro
Done

Answer 1

Answer-

The slope of the line that passes through the points is

Solution-

As there is a single line passing through all these points, so taking any two points and then applying the formula for slope will give the slope of the line.

The points are,

(-14, 8), (-7, 6), (0, 4), (7, 2), (14, 0)

Taking two points as, (0, 4), (7, 2)

x₁ = 0

y₁ = 4

x₂ = 7

y₂ = 2

Putting the values,

Therefore, the slope of the line that passes through the points is -2/7

Explanation:

Answer 2

If you want to learn how to get and graph the slope of a line using two points, you should watch this. 1. Let your two points be (x1 , y1) and (x2 , y2). Draw a straight line that connects the two points. 2. Use the formula, m = change in y over change in x , for finding the slope which is represented by the variable m. 3. The simpler form of the formula would be m = (y1 - y2) / (x1 - x2). 4. If you were given two points, just substitute the values in the given formula. 5. For example, the two points are (5, -2) and (2, 4). So by substitution, m = (-2-4)/(5-2) = -6/3 = -2. Thus m= -2. 6. If the slope is negative, it means as the line moves to the right, the line also moves down. After following these simple steps, expect that you can get a near to perfect, if not perfect, score in getting and graphing the slope of a line using two points test.

Explanation: