Question

Find the slope of the line that passes through the points (5,3) and (-1, -1). You must reduce your answer.Write your answer as a fraction

Answer 1

you can calculate the slope of a line if you have two points, the slope formula is:

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

where (x2,y2) is the rightmost point, for this case (5,3) and (x1,y1) is the other point, So:

$m=\frac{(3)-(-1)}{(5)-(-1)}$$m=\frac{3+1}{5+1}\text{ = }\frac{4}{6}$

We can reduce the answer

$\frac{4}{6}\text{ = }\frac{2}{3}$

Finally, the slope of the line is:

$\frac{2}{3}$