What is the slope of the line that runs through points (1,-5) and (5, 10)?

2 Answers
smendyka
May 14, 2017

See a solution process below:

Explanation:

The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #m# is the slope and (#color(blue)(x_1, y_1)#) and (#color(red)(x_2, y_2)#) are the two points on the line.

Substituting the values from the points in the problem gives:

#m = (color(red)(10) - color(blue)(-5))/(color(red)(5) - color(blue)(1)) = (color(red)(10) + color(blue)(5))/(color(red)(5) - color(blue)(1)) = 15/4#

Rachel
May 14, 2017

#5/3#

Explanation:

To find the slope, we need to use the, creatively named, Point-Slope Formula, which uses, wait for it, two points to find the slope

The form is #(y_2-y_1)/(x_2-x_1)#, based on #(x_1, y_1)# and #(x_2, y_2)#.

So, we have #(1, -5)# and #(5, 10)#. That gives us #(10--5)/(10-1)#, or #15/9#, which simplifies to #(5*cancel(3))/(3*cancel(3))#: #5/3#. That's our slope

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