What is point slope form for (4,5) and (2,-6)

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)

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