Question

Find the slope of the line passing through the points (3, 8) (7, - 7)

Answer 1

Answer:

$-\frac{15}{4}$

Step-by-step explanation:

To find the slope or the gradient of a line you have to utilise the formula

$\frac{y2-y1}{x2-x1}$

Y₂ = -7

Y₁ = 8

X₂ = 7

X₁ = 3

So,

$\frac{-7-8}{7-3}$

→ Simplify

$-\frac{15}{4}$

Answer 2

By using the given points, we will see that the slope is -15/4.

How to find the slope of a line?

If we know that a given line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

$s = \frac{y_2 - y_1}{x_2 - x_1}$

Here the line passes through the points (3, 8) and (7, -7).

Using the above formula, we can see that the slope is:

$s = \frac{-7 - 8}{7 - 3} = \frac{-15}{4}$

If you want to learn more about linear equations, you can read:

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