Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

Write an equation of a line in point- slope form for the line that passes through A(-2, -2) and B(4,1)

Sagot :

Step 1: Find the slope using [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]:

    [tex]m= \dfrac{1-(-2)}{4-(-2)} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

Step 2: Plug the slope and one-point into point-slope form [tex]y-y_1 = m(x-x_1)[/tex]:

Let's use (4,1) since there's no negative involved.  That makes it easier:

    [tex]y-1 = \frac{1}{2}(x-4)[/tex]