Answer: I HOPE IT HELPS OR WATCH VIDOES ABOUT IT
Step-by-step explanation:
Two unique points define a line. Other geometric figures also may pass through those two points (you will learn those later).
There are several forms of the equation of a line:
Standard form Ax + By = C
Slope-intercept form y = mx + b
Point-slope form y – y1 = m(x – x1)
Two-point form y – y1 = [ (y2 – y1)/(x2 – x1) ](x – x1)
O.K., you picked the two-point form, right?
The points are P1: (5,5) and P2: (7,-4)
y - 5 = [ ((-4) - 5)/(7 - 5) ] (x - 5) (put in x and y values of points)
y - 5 = [ -9 / 2 ](x - 5) (simplify)
y - 5 = -9/2x + 45/2 (distribute -9/2)
y = f(x) = -9/2x + 55/2 (add 5 to both sided)
Check (very important):
Is (5,5) on the line? 5 = (-9/2)(5) + 55/2 ?
5 = -45/2 + 55/2 ?
5 = 10/2 yes.
Is (7,-4) on the line? -4 = (-9/2)(7) + 55/2 ?
-4 = -63/2 + 55/2 ?
-4 = -8/2 ? yes.
