A line contains the points (8, 9) and (–12, –7). Using point-slope form, write the equation of the line that is parallel to the given line and that passes through (–5, –15).

Question

ilovepie · Answer

Alright, first, we know that we want an equation of a line that's parallel to another. In order to be parallel, the both lines MUST have the same slope

ilovepie · Answer

The first step here would be to find the slope of a line going through the points (8,9) and (-12,-7). Do you know how to do that or do you need help?

anonymous · Answer

Help please

ilovepie · Answer

The formula for slope is m=y2-y1/x2-x1. Which is the change in y over change in x. Just plug everything in, and you should get a slope of -16/-20 which can be simplified to 1/8

ilovepie · Answer

sorry, slope of 4/5

ilovepie · Answer

Since you want a parallel equation, both must have the same slope. The equation for point slope form is $$y-y _{1}=m(x-x _{1})$$

ilovepie · Answer

Can you continue solving or do you need help?

anonymous · Answer

help please

ilovepie · Answer

The final equation would look like this: $$y+16=\frac{ 4 }{ 5}(x+5)$$

ilovepie · Answer

Sorry, typo. Instead of +16, the answer is +15

anonymous · Answer

Is that it??

ilovepie · Answer

yes, that's the final equation. But remember that  i made a typo while writing the equation, so change the 16 to a 15.

anonymous · Answer

Oh okay thank you soo much