Question

Please tell me how to find the Slope of lines, (or do one for me) [I’ll try to help you back]

Answer 1

The slope of a line often referred to as the ($\frac{rise}{run}$) is the rate of change in a line. It can be found using the following formula.

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

Where ($x_1,y_1$) and ($x_2,y_2$) are points on the line. For each problem, substitute the points on the line into the formula and solve for the slope.

1. $\frac{1}{2}$

(0, 2), (-2, 1)

$=\frac{1-2}{-2-0}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}$

2. 2

(-2, -1), (0, 3)

$=\frac{3-(-1)}{0-(-2)}\\\\=\frac{3+1}{0+2}\\\\=\frac{4}{2}\\\\=2$

3. 4

(1, 0), (2, 4)

$=\frac{4-0}{2-1}\\\\=\frac{4}{1}\\\\=4$

4. 1

(6, 2), (2, -2)

$=\frac{-2-2}{2-6}\\\\=\frac{-4}{-4}\\\\=1$

5.$\frac{3}{5}$

(-1, 1), (4, 4)

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

6. $\frac{1}{3}$

(-7, 4), (2, 1)

$=\frac{4 -1}{2-(-7)}\\\\=\frac{3}{2+7}\\\\=\frac{3}{9}\\\\=\frac{1}{3}$

7. 0

(5, -3), (-2, -3)

$=\frac{-3-(-3)}{-2-5}\\\\=\frac{-3+3}{-7}\\\\=0$

8. $\frac{7}{5}$

(-3, 2), (2, 7)

$=\frac{7-2}{2 - (-3)}\\\\=\frac{7}{2+3}\\\\=\frac{7}{5}$

9. 8

(2, 16), (3, 24)

$=\frac{24-16}{3-2}\\\\=\frac{8}{1}\\\\=8$