Write the equation in Point-Slope Form of a line that has a slope of 3/4 and passes through point (-4, -12).

The equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:

The graph of the equation line is also attached below.    

Step-by-step explanation:

Given

To determine

We have to determine the equation in Point-Slope Form.

We know that the Point-slope form of a line equation is defined as

where

In our case:

substituting the values m = 3/4 and the point (x₁, y₁) = (-4, -12) in the point-slope form of the line equation

Apply rule:  

Therefore, the equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:

The graph of the equation line is also attached below.    

  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.