Question

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

Answer 1

m=-9/4

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

Answer

• The slope is -9/4.

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