Question

Can you please explain slopes to me

Answer 1

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m ; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Answer 2

m=6/5

Step-by-step explanation:

To find the slope of the line, first pick any two points (x1,y1)=(3,4) and (x2,y2)=(-2,-2) on the line.

Using the formula below:

`\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ \implies m=(y_2-y_1)/(x_2-x_1) \end{gathered}`

The slope of the line is:

`\begin{gathered} m=(-2-4)/(-2-3) \\ =(-6)/(-5) \\ =(6)/(5) \end{gathered}`

The slope of the line is 6/5.