What is the slope of the line passing through # (-4,-3); (3,4)#?

2 Answers
Jul 19, 2018

The slope is #1#.

Explanation:

To find the slope given two points, we use the formula #"rise"/"run"#, or #(y_2-y_1)/(x_2-x_1)#.

Plug in the given points into the formula:
#(4-(-3))/(3-(-4)) = 7/7 = 1#

Therefore, the slope is #1#.

Hope this helps!

Jul 19, 2018

#1#

Explanation:

To find the slope for two points, we can use the formula

#(Deltay)/(Deltax)#

Where the Greek letter Delta (#Delta#) is shorthand for "change in".

We just see how much our #y# changes, and divide by how much our #x# changes.

We go from #y=-3# to #y=4#, which represents a #Deltay# of #7#.

We go from #x=-4# to #x=3#, which represents a #Deltax# of #7#.

Therefore, our slope is #1#.

Hope this helps!