Question

Please don't answer (dare)


Find the slope given the points (-5,-3) and (2,4)​

Answer 1

$\huge {\underline{\underline{\mathcal\color{fuchsia}{\bigstar{Answer}}}}}$

The slope of the line is 1.

Step-by-step explanation:

We are given two coordinate points:

$\bold{↬{ }}$(-5, -3)

$\bold{↬{ }}$(2, 4)

We can use the rate of change formula to find the slope of the points.

$\mapsto{\sf{   }}$       $\displaystyle{\blue{\frac{\triangle y}{\triangle x}}}$

In mathematics, coordinate pairs are labeled as:

$\mapsto{\sf{   }}$       $(x_1, y_1) \ \text{and} \ (x_2, y_2)$

Therefore, we can relabel our points:

$\bold{↬{x_1 = -5x1=−5 }}$

$\bold{↬{y_1 = -3y1=−3 }}$

$\bold{↬{x_2 = 2x2=2 }}$

$\bold{↬{ y_2 = 4y2=4 }}$

After we do this, we can expand the rate of change formula:

$\mapsto{\sf{   }}$       $\displaystyle{\green{ m = \frac{y_2-y_1}{x_2-x_1}}}$

Now, we can use simple substitution to solve for m, or the slope.

$\begin{gathered}\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{2-(-5)}\\\\m = \frac{7}{7}\\\\m = 1\end{gathered}$

Therefore, the slope of the line is 1.