Question 258516
this is really about slope i couldnt find an option for it,,,but i really dont understand the whole slope thing...i did the x1 - y1 but i still cant get the right answer...if the equation is (6,6) and (2,2)

The slope of the line between two points represents the change in the y-coordinates divided by the change in the x-coordinates. This is sometimes called the rise (of the line) over the run (of the line).

In general the slope between two points (x1,y1) and (x2,y2) is then 

(y2-y1)/(x2-x1) 

So for these points the slope is (6-2)/(6-2) = 4/4 = 1 

One of the standard forms of a line called the slope-intercept form:

y = m*x + b

In this form of a line m represents the slope and b represents the value of y where the line crosses the y-axis (which is when x = 0).

In this particular case we already calculated the slope m to be 1 so the equation of the line is:

y = 1*x + b

We still need to find b. Since the line passes through the point (2,2) we know that when x=2, y is also equal to 2.

So substituting 2 for x and 2 for y in the equation above:

2 = 1*2 + b
2 = 2 + b
b = 0

The equation for the line in slope-intercept form is:

y = 1*x + 0 or
y = x