Question

Determine the equation of the line that passes through the points (0,−9) and (6,1)no need to be detailed

Answer 1

We need to find the equation of the line that passes through the points (0,-9) and (6,1).

To solve it we're going to use the equation of a line given as:

`y-y_0=m(x-x_0)`

Where m represents the slope of the line and y0, x0 is any point of the line.

To find, firstly, the slope we're going to use the following formula:

`m=(y_2-y_1)/(x_2-x_1)=(1-(-9))/(6-0)=(10)/(6)=(5)/(3)`

Now, we reply to the slope in the equation line and chose any point from the ones given by the statement. To make easily the counts we can use (0,-9).

`y-(-9)=(5)/(3)(x-0)`
`y=(5)/(3)x-9`

Then the correct answer for the equation of the line that passes through the points (0,-9) and (6,1) is:

`y=(5)/(3)x-9`