Question

What is the slope of the line that contains points (-3, 1) and (4, -2)?​

Answer 1

The slope of the line is $m=-\frac{3}{7}$

Explanation:

The points are $(-3,1)$ and $(4,-2)$

We need to find the slope of the line that contains the points $(-3,1)$ and $(4,-2)$

The slope of the equation can be determined using the formula,

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

Substituting the points $(-3,1)$ and $(4,-2)$ in the slope formula, we have,

$m=\frac{-2-1}{4-(-3)}$

Simplifying the expression, we have,

$m=\frac{-2-1}{4+3}$

Adding the terms in both numerator and denominator, we have,

$m=\frac{-3}{7}$

The slope of the line that contains the points $(-3,1)$ and $(4,-2)$ is $m=-\frac{3}{7}$

Thus, the slope of the line is $m=-\frac{3}{7}$