Question

How do you calculate the slope of (0,0) and (3,-3)?

Answer 1

Hint: To find the slope for a given two point we need to get the slope by the algebraic formulae, which says that slope is the ratio of the difference of y-coordinate to the x-coordinate for the give two points, once we use this formulae in ,mathematical term and put the value associated then we can easily get the slope between the two points.
Formulae Used:
 \[ \Rightarrow slope = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}\]

Complete step-by-step answer:
Here to the solve the given question which is to find the slope between the two points, we are going to use the algebraic formulae of slope which says, that the slope is the ration of the difference of y-coordinate to the x-coordinate, here expressing this in mathematical form we get:
 \[ \Rightarrow slope = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}\]
Using this we can get the slope for the given two points, here we have the values for the coordinate as:
 \[
   \Rightarrow {y_2} = - 3,\,{y_1} = 0 \\
   \Rightarrow {x_2} = 3,\,{x_1} = 0 \;
 \]
Now putting these values in the equation of the slope for obtaining the value of the slope we get:
 \[ \Rightarrow slope = \dfrac{{ - 3 - 0}}{{3 - 0}} = \dfrac{{ - 3}}{3} = - 1\]
Here the slope value is minus one, and is our required answer of the slope for the given question between the two given points.

Note: Here we should know that value of slope for any given two points can be positive negative or even zero, we can also obtain here fraction slope or in decimal the value of slope can be obtain, in order to check the value obtain by this formulae we can plot it to the graph to check the correctness.