Question

if f(2)=5 and f(-1)=-3, find a and b in the function f(x)=ax+b

Answer 1

they gave u 2 points

Answer 2

(2,5) and (-1,-3)

Answer 3

can you find the slope given these 2 points?

Answer 4

slope is the change in y per every change in x

Answer 5

for the points
(2,5) and (-1,-3)
look at how the y changes and how the x changed
y from 5 to -3
x from 2 to -1

Answer 6

the slope would be -2 /-3

Answer 7

y went down -8
x went down -3
-8/-3 = 8/3

Answer 8

remember from 5 to -3
not 5 to 3

Answer 9

plug in your slope and one of those points and see what b has to be

Answer 10

oh yes i got -8/-3

Answer 11

f(x)=ax+b
f(x)=8/3x+b
pick one of the points
(2,5)
5=8/3*(2)+b
b=?

Answer 12

f(x) is another way to say y

Answer 13

y=8/3x+b
we are given point
(2,5)<---- x,y value in that order
so we can plug that in for x,y
5=8/3(2)+b
so we can see what b has to be so that this equation is satisfied

Answer 14

i got -1/3

Answer 15

yes

Answer 16

thank you so much, i appreciate it

Answer 17

okay sure thing :)