Question

How do you find the rule of a linear function? What are the steps?

Answer 1

If you are given
1. 2 points go to AAAAAA
2. slope and 1 point go to BBBBBB
3. y intercept and x intercept go to CCCC


AAAAAAAA
y=mx+b
m=slope
b=y intercept
if you have the points (x,y) and (z,t), then
slope=(y-t)/(x-z)
then subsitute slope and subsitute one point for x and y (x,y) to solve for b


BBBBBBB
y=mx+b
m=slope
b=y intercept
if you are given the slope, then input the slope for m and input the point and solve for b (ex if given slope=3 and one point is (1,4) then 4=3(1)+b 4=3+b, b=1)


CCCCCCCCC
y=mx+b
m=slope
b=y intercept
x intercept is where the line crosses the x axis or where y=0 and y intercept=where the line crosses the y axis or when x=0
subsitute y intercept for b
subsitute the point (x,0) in the euqaitoin (x=x intercept)