Question #635ec

1 Answer
Feb 1, 2016

Find the slope and then the y intercept.

Explanation:

So let's assume you were given the points of:
#(a,b) (c,d)#

First, you'd want to find the slope of the line between the two points. You'd use the following formula to find the slope:
#(d-b)/(c-a)#

So now, you'd want to take this equation: #Y=mx+b#
Then, you'd fill in the slope for the #m# value.
Next, fill in the two values of A and B: #B = (slope)A + x#
Then solve for X and complete the whole equation.

For example, in #(1,2)# and #(3,4)#;
The slope would be #(4-2)/(3-1) = 4/2 = 2#

So, #m=2#

Now, we need to fill in the slope in the equation. Remember that we also fill in the #a# and #b# values. #B=2# and #a=1# because #(a,b)=(1,2)#.
The new equation is #2 = 2(1)+x#
You'd multiply #2 and 1# and then subtract #2# from both sides, getting that the #x = 0#.

Your equation now would be #Y=(2)x+0#