The problem
I need to find the slope of the line that go through pair of points. Then graph the line through the two points and label the rise and run using the formula m=y2-y1/x2-x1 How would I enter this problem (2,3)(3,4) to solve it
Answer provided by our tutors
The given points are (2,3) and (3,4).
This means
(x1, y1) = (2, 3)
that is
x1 = 2
y1 = 3
(x2, y2) = (3, 4)
that is
x2 = 3
y2 = 4
Plug the values into the formula for the slope and calculate:
m=(y2-y1)/(x2-x1)
m = (4 - 3)/(3 - 2)
m = 1/1
m = 1
The slope is 'm = 1'.
The slope intercept for of a line equation is:
y − y1 = m(x − x1)
Plug the knows values for x1 = 2, y1 = 3 and m = 1 and you will get the equation for the line:
y - 3 = 1(x - 2)
y - 3 = x - 2
y = x - 2 + 3
y = x + 1
Now, select the 'Graph' tab, type in the equation and click on 'Solve' to get the graph:
Click here to see the graph