Complete the point-slope equation of the line through (0, -1) and (1, 2)

OR

Step-by-step explanation:

Hi there!

Point-slope form: where m is the slope and is a point

1) Determine the slope (m)

where two points that fall on the line are and

Plug in the points (0,-1) and (1,2):

Therefore, the slope of the line is 3. Plug this into :

2) Plug a point into the equation

Because we're given two points, there are two ways we can write the equation:

OR

I hope this helps!

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c