What is the slope of a line that passes through the point (−5, 3) and is parallel to a line that passes through (2, 13) and (−4, −11)?

Question

ganeshie8 · Answer

parallel lines will have equal slopes.

ganeshie8 · Answer

so just compute the slope of line passing thru : (2, 13) and (−4, −11)

whpalmer4 · Answer

Here the point that your line goes through is unnecessary information, added to possibly confuse you :-)

gabylovesyou · Answer

i put it in geogebra, thats what u mean ? @ganeshie8 and ok @whpalmer4 thanks

whpalmer4 · Answer

slope of the line can be found with 
$$m = \frac{(y_2-y_1)}{(x_2-x_1)}$$where $(x_1,y_1)$ and $(x_2,y_2)$ are your points

ganeshie8 · Answer

we need to use slope formula for this.. 

 (2, 13) and (−4, −11)

slope = diff in y / diff in x
        = -11-13 / -4-2
       = -24/-6
       =  ?

gabylovesyou · Answer

m = 4

ganeshie8 · Answer

yes that easy it is. im sure the other extra point confused u... :)

gabylovesyou · Answer

yes it did.. lol

whpalmer4 · Answer

many problems would ask you to put a parallel line through that other point, do you know how to do so?

gabylovesyou · Answer

no clue lol

whpalmer4 · Answer

Okay, here's the formula you might use:

$$y-y_0 = m(x-x_0)$$
which is the equation for a line with slope $m$ passing through point $(x_0,y_0)$

whpalmer4 · Answer

So for the point they gave us, and the slope you found, the equation would be

$$y-3 = 4(x-(-5))$$$$y-3=4(x+5)$$

gabylovesyou · Answer

ohh ok