Question 338626: Write the equation of the line that passes through (1, 3) and (4, 4) in standard form.
Please and thank you
Sincerely
Alisha
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Write the equation of the line that passes through (1, 3) and (4, 4) in standard form.
.
Standard form of a line:
Ax + By = C where A is a positive integer, and B, and C are integers
.
First, determine slope between the two points using:
m = (y2-y1)/(x2-x1)
m = (4-3)/(4-1)
m = 1/3 (slope)
.
Next, use one of the two points (1,3) and the slope (1/3) and plug it into the "point-slope" form:
y-y1 = m(x-x1)
y-3 = (1/3)(x-1)
multiplying both sides by 3:
3y-9 = x-1
subtracting x from both sides:
-x + 3y-9 = -1
adding 9 to both sides:
-x + 3y = 8 (this is what they're looking for)
|
|
|
