Question

Find the slope-intercept form for the line satisfying the following conditions.
x-intercept is 3, y-intercept is 2/3
The slope-intercept form for the line is?

Answer 1

Can anyone help me finding the slope-intercept?

Answer 2

sure

Answer 3

first tell me what do you understand by x intercept?

Answer 4

i mean what will be the y coordinate

Answer 5

I know we have to do y=mx+b

Answer 6

lets understand few things
x intercept implies line crossed x axis, so y coordiante is 0
so the point has the values or coordinates as (3,0)
similarly for y intercept x coordiante is 0
so the point has coordinates as (0,2/3)

Answer 7

correct

Answer 8

now find slope m= (2/3-0)/(0-3)

Answer 9

which works out to be -2/9

Answer 10

now use y-y1=m(x-x1) where (x1,y1) can be either (3,0) or (0,2/3)

Answer 11

does that help

Answer 12

how did you get -2/9

Answer 13

(2/3-0)/(0-3)

Answer 14

So basically you have two points (3,0) and (0,2/3)

Now insert each point into y = mx + b and solve for m

0 = 3m + b
2/3 = 0m + b

-3m = b
2/3 = b

-3m = 2/3

m = -2/9

Therefore the equation of the line is

y = -2/9(m) + 2/3

Answer 15

Write the function as a set of order pairs. Give the domain and range of it.
f(a)=r, f(b)=p, f(c)=t, f(d)=r

Answer 16

Can someone help me?