Given points (4,5) and (2, -6), we can determine the point slope form by starting with the slope.
To solve for the slope, we must use the formula:
m = (y2 - y1)/(x2 - x1)
Let (x1,y1) = (4,5)
(x2,y2) = (2,-6)
Plug these values into the formula:
m = (y2 - y1)/(x2 - x1)
m = (-6 — 5)/(2 — 4)
m = -11/-2
m = 11/2
Therefore, slope (m) = 11/2
Next, we’ll use the slope and point (4,6) as (x1,y1) for the following point-slope form:
y — y1 = m(x — x1)
y — 5 = 11/2(x — 4)
Therefore, our point-slope form is:
y — 5 = 11/2(x — 4)
Please mark my answers as the Brainliest if you find my explanations helpful :)
