Question

What is the slope of the line passing through the points (−3, 4) and (2, −1) ?


−1

1

−53

35

Answer 1

Answer:

The slope is - 1.

Step-by-step explanation:

Given :

Points :

• (-3, 4)
• (2, - 1)

To Find :

The Slope the line passing.

Solution :

Consider the :

Slope as m.

We know that :

Gradient Formula.

$\bigstar\;\boxed{\sf m = \dfrac{Rise}{Run}=\dfrac{y_2-y_2}{x_2-x_1}}}$

Here,

m = Slope.

(x₁ , y₁) = Coordinates of first point in the line.

(x₂ , y₂) = Coordinates of second point in the line.

So,

Let  -

$\sf \implies (x_1\;,\;y_1 ) = ( -3, 4)$ 

$\sf \implies (x_2\;,\;y_2) = (2,-1)$

Now,

$\sf\\ \\\implies m = \dfrac{-1-4}{2-\big(-3\big)}\\ \\ \\\implies m=\dfrac{-5}{5} = -1$

∴ - 1 is the slope of the line passing through the points (-3, 4) and (2, -1)