Question

A line passes through the point (0, 2) and has a slope of -1/4 What is the equation of the line?

Answer 1

The equation you'll be using is:
\[y-y_1=m(x-x_1)\]Here, m is the slope of the line, and x_1,y_1 are the x and y coordinates of any point on the line. You have the slope and a point, so you can just plug in and simplify as needed.

Answer 2

so, how should it look like?

Answer 3

?

Answer 4

point-slope form -> \(\huge y-y_1=m(x-x_1)\)

m = slope
(0, 2) = \(\bf (x_1, y_1)\)

Answer 5

plug your values in, solve for "y" to get your equation

Answer 6

so how will that look

Answer 7

well, plug in the values, and you'd know

Answer 8

give me a sec

Answer 9

yeah im lost

Answer 10

well, did you plug in the values?

the point-slope form takes, slope, and "x" and "y" coordinates for a point given
you're given all 3 of those

Answer 11

4x+y+2?

Answer 12

hmmm, the slope given is -1/4