Question

Complete the equation for the linear function whose graph contains the point
(−1, 2) and has a slope of 0.9.

y = x +

i think m=0.9 and y=2

Answer 1

@ganeshie8

Answer 2

how did u get y intercept = 2 ?

Answer 3

i thought you had to use the intercept in the point given

Answer 4

Nope. A point has no intercept. We define intercepts for graphs like lines, parabolas etc..

Answer 5

\[\large \rm y = 0.9x + b\]

Answer 6

plugin the given point (-1, 2) in above equation and find out the y intercept, \(\rm b\)

Answer 7

plugin x = -1 and y = 2

Answer 8

y=0.9x+-1 y=0.9x+2

Answer 9

i did that wrong

Answer 10

Not quite, you need to plugin x = -1 and y = 2 in the equaiton and find out the value of \(\rm b\) first. Let me show you how to work it

Answer 11

you get 1.8 and -0.9

Answer 12

You have this equation :\[\large \rm y = 0.9x + b\]

plugin \(\rm x = -1\) and \(\rm y = 2\), you get :
\[\large \rm 2 = 0.9(-1) + b\]

Answer 13

\[\large \rm 2 = -0.9 + b\]

Answer 14

\[\large \rm 2 +0.9 = b\]

Answer 15

\[\large \rm 2 .9 = b\]

Answer 16

So the y intercept is \(\large \rm 2.9\)

Answer 17

oh, okay. that makes sense.