Question

Solve (-2,5) and (2,1) as an equation in point slope form for the second point

Answer 1

Slope - Intercept Form of a Line:

y = mx + b

where m is the slope and b the y - intercept.

Given the points: (-2, 5) and (2, 1):

To find m:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(1-5)/(2+2) \\ m\text{ = -1} \end{gathered}`

To find b:

1 = -1(2) + b

b = 1 + 2

b = 3

EQUATION OF THE LINE:

y = -x + 3