Aline contains the points (4,2) and (0,-1). what is the equation of the line?
put in slope intercept form.
y = mx + b
a. what is the y-intercept (b)
b. what is the slope of the line
c. what is the equation of the line in slope intercept form

First find the slope, m=(y2-y1)/(x2-x1)

m=(-1-2)/(0-4)=-3/-4=3/4 so far we now have:

y=3x/4+b, now using point (4,2) we can solve for b...

2=3(4)/4+b

2=3+b

b=-1

So the line in slope-intercept form is:

y=3x/4-1  or more clearly

y=0.75x-1 this is C

So the y-intercept is -1  (technically the point (0,-1)) This is A

The slope is 0.75  this is B

Just look outside and then you’ll see where the awnser is