Question

Find the equation, in standard form, of the line passing through the points (2,-3) and (4,2).

a. 2x-3y=9
b. 5x+2y=16
c. 5x-2y=16

Answer 1

first find the slope of the line:
2+3 5
-------- = --------
4-2 2

Now you have : y = 5/2x + b.
substitute one of the points into the line, and you get:

2 = 5/2 * 4 + b
2= 10 + b
b= -8

this would make our equation: y = 5/2x -8.
because this doesn't equal any of the equations in the list, we need to convert them so that they're in point slope form by isolating the y variable. I will omit this step as I can see that the answer is letter A.