Question

Use the slope formula to find the slope of the line through the points (2,10) and (10,−8).

Answer 1

Answer:

m=-9/4

Step-by-step explanation:

Hi there!

The formula for the slope (m) calculated from two points is given as (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points

we are given the two points (2,10) and (10,-8)

to avoid any confusion, let's label the values of the points

x1=2

y1=10

x2=10

y2=-8

now substitute into the formula:

m=(-8-10)/(10-2)

subtract

m=(-18)/(8)

simplify (reduce to lowest terms)

m=-9/4

Hope this helps!

Answer 2

The slope formula is the changes of two y-values over/to the changes of two x-values.

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

Substitute two given points in the formula to find the slope. The m-term represents the slope from y = mx+b.

$\large{m = \frac{10 - ( - 8)}{2 - 10} } \\ \large{m = \frac{10 + 8}{ - 8} } \\ \large{ m = \frac{18} { - 8} \longrightarrow \frac{9}{ - 4} } \\ \large \boxed{m = - \frac{9}{4} }$

Answer

• The slope is -9/4.

Hope this helps and let me know if you have any doubts!