Question

Write an equation in point-slope form for each line.
(If possible please show work)

Answer 1

y= -2x+3

Explanation:

Point slope form= y=mx+b

The m is the slope.

So, we have an incomplete equation right now: y= -2x+b

We want to find b. We can do that by plugging in values for the x and y coordinates. Fortunately, we do have a set of coordinates, (1, 1)!

We plug them in:

1= -2(1)+b

1= -2+b

b=3

So, since we have the slope and the b, also called the y-intercept, we can form an equation!

y= -2x+3