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:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-9)}{6-0}=\frac{10}{6}=\frac{5}{3}$

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)=\frac{5}{3}(x-0)$$y=\frac{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:

$y=\frac{5}{3}x-9$