Can you choose any two distinct points on a line to calculate the slope? true or false?

True, we can choose any two distinct points on a line to calculate the slope.

Step-by-step explanation:

The slope of a line tells the rate of change of the dependent variable with respect to change in the independent variable.

For a line, the rate of change is constant.

Therefore, the slope of a line is constant.

Since, for any any two points, there is always a unique line passing through it it.

So, we can choose any two distinct points  from the line, it doesn't matter with the answer, it will remain constant.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

n

step-by-step explanation: