If given a picture of a graph how do you find the slope?

Question

No other info is given just the picture of the graph. The graph I'm working on is a positive slope starting at (0,.5) and ends at (2, 5)

Any help is greatly appreciated!

Answer 1

The slope of any straight line is constant; it's the same between *any* two points on the line. So, all you need is two points, any two points, plus the formula for calculating a slope, which is rise over run.

m = ( y2 - y1 ) / (x2 - x1)
for (0, .5) and (2,5)
x1=0, y1=.5, x2=2, y2=5
therefore
m = (5-.5)/(2-0) = 4.5/2 = 2.25

It doesn't matter which point you call #1 or #2, you'll get the same answer (try it).

As a check, a positive (m>0) slope is like this: /
and a negative (m<0) slope is like this: \

There are two "special" circumstances to remember -- a vertical line (like this: | ) has NO SLOPE (it is "undefined"). And a flat horizontal line (like this: - ) has a slope of 0.

Answer 2

Take any two points on the graph.Let it's coordinates be (5,4) & (7,7),slope of the graph is the ratio of difference in Y-coordinates to the difference in X-coordinates.Here slope =(7-4) / (7-5).

Answer 3

use the slope formula: (y1-y2)/(x1-x2). This gives you (5-0.5)/(2-0), which equals (4.5)/(2), so your slope would be 2.25. Remember that you could put any of the two points as (x1,y1) and the other as (x2,y2), and you'd get the same answer, as long as x1 is below y1 and x2 is below y2.

Answer 4

Rise/Run
y=mx+b

Answer 5

you take 5-.5=4.5 and 2-0=2 (y2-y1, x2-x1) the slope is 4.5/2 remember rise over run!

Answer 6

ok lets say (2,5) is your second point
therefore
you take the second y and subtract the first y from it
5-.5 = 4.5
then you take the second x and subtract the first x from it
2-0 = 2
then you divide your new y value by your new x value to find m which is slope
4.5/2
and simplify
9/4

Answer 7

y=mx+c