Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of m

The equation of line M in slope intercept form is    

The equation of line M in standard form is  

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

we have the points

(2,4) and (0,1)

substitute

step 2

Find the equation of the line M in point slope form

we have

substitute

----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

Isolate the variable y in the equation of the line in point slope form

Adds 1 both sides

step 4

Find the equation of the line M in standard form

where

A is a positive integer

B and C are integers

we have

Multiply by 2 both sides

---> equation in standard form

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

range is infinite on both x and y axis positive and negative

step-by-step explanation: