Question

find the slope of the line that passes through these two points.
(0, 7); (2, 4)
is the slope positive or negative?
a) positive b) negative
slope formula: $\frac{y_2 - y_1}{x_2 - x_1}$

Explanation:

Step1: Define points

Let $(x_1, y_1) = (0, 7)$ and $(x_2, y_2) = (2, 4)$

Step2: Apply slope formula

Substitute values into $\frac{y_2 - y_1}{x_2 - x_1}$:
$\frac{4 - 7}{2 - 0} = \frac{-3}{2}$

Step3: Identify slope sign

$\frac{-3}{2}$ is a negative value.

Answer:

Slope: $\boldsymbol{\frac{-3}{2}}$
Slope sign: b) negative