Question

What is the equation of the line that passes through the points (–12 –8) and (–17 –16)?

Answer 1

Hi you can use two point form of straight lines.
If (x1,y1) and (x2,y2) are two given points the equation of line passing through then would be
$\frac{x - x1}{x2 - x1} = \frac{y - y1}{y2 - y1}$
Here given points are (-12,-8) and (-17,-16)
Therefore the equation becomes
$\frac{x - - 12}{ - 17 - - 12} = \frac{y - - 8}{ - 16 - - 8} \\ = \frac{x + 12}{ - 5} = \frac{y + 8}{ - 8} \\ = 8(x + 12) = 5(y + 8)$
Hope this helps.