Question

Find the slope of the line that passes through the points shown in the table.

Answer 1

Answer-

The slope of the line that passes through the points is $-\dfrac{2}{7}$

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)

$m=\dfrac{y_2-y_1}{x_2-x_1}$

x₁ = 0

y₁ = 4

x₂ = 7

y₂ = 2

Putting the values,

$m=\dfrac{2-4}{7-0}$

$=-\dfrac{2}{7}$

Therefore, the slope of the line that passes through the points is $-\dfrac{2}{7}$

Answer 2

The slope of the line that passes through the points in the table is -2/7.