Question

Find the slope of the line that passes through (4, 10) and (2, 1).

Answer 1

The slope of the line is -$\frac{9}{2}$

Step-by-step explanation:

Given:

Two points are (4,10) and (2,1)

To find:

The slope of the line passes though the points

Formula to be used:

Let "m" be the slope of the points ($x_{1} y_{1}$,) and ($x_{2} y_{2}$) respectively,

We all be aware of the slope formula that,

m = $\frac{y_{2}- y_{1}}{x_{2}- x_{1}}$

Now,

The slope m = $\frac{1-10}{2-4}$

= $\frac{-9}{-2}$ = $\frac{9}{2}$

Thus the slope obtained is $\frac{9}{2}$

Answer 2

Answer:

slope = $\frac{9}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 10) and (x₂, y₂ ) = (2, 1)

m = $\frac{1-10}{2-4}$ = $\frac{-9}{-2}$ = $\frac{9}{2}$