Question

What is the slope of the line passing through the points (1, - 5) and (4, 1)?—0 -2O4O-O 2123

Answer 1

formulaAs given by the question

There are given that the two-point

`(1,\text{ -5) and (4, 1)}`

Now,

From the formula of slope

`M=(y_2-y_1)/(x_2-x_1)`

Where,

`x_1=1,y_1=-5,x_2=4,y_2=1`

Put the all value into the given formulq

So,

`\begin{gathered} M=(y_2-y_1)/(x_2-x_1) \\ M=\frac{1_{}-(-5)_{}}{4_{}-1_{}} \\ M=\frac{1_{}+5_{}}{4_{}-1_{}} \\ M=(6)/(3) \\ M=2 \end{gathered}`

Hence, the value of the slope is 2.