Question

Choose the graph below that corresponds to the equation y - 6 = -one half(x + 1).

Answer 1

@jim_thompson5910 @Hero @Mertsj ?

Answer 2

what's the slope of the given line?

Answer 3

I tried working the problem out, but I got a little confused.

Answer 4

the number that is sitting out front of the parenthesis is your slope

Answer 5

so your slope is _____

Answer 6

- 1/2?

Answer 7

good

Answer 8

that means that your line will slope downwards as you go from left to right

Answer 9

so that rules out graphs 2 and 4

Answer 10

because they slope upwards as you go from left to right

Answer 11

making sense so far?

Answer 12

Mhmm :)

Answer 13

ok the other info given is that we have this line going through (1,6)

how do I know this? because the general point slope form is

y - y1 = m(x - x1)

where

m = slope

(x1, y1) = point that this line goes through

Answer 14

oh sry, not (1, 6)

(-1, 6)

Answer 15

y - y1 = m(x - x1)

y - 6 = -1/2(x + 1)

y - 6 = -1/2(x - (-1))

notice how x1 matches up with -1, so x1 = -1
notice how y1 matches up with 6, so y1 = 6

Answer 16

so which line goes through (-1,6)

graph 1 or graph 3?

Answer 17

1, right?

Answer 18

graph 1 goes through (-1,6)

you sure?

Answer 19

yeah pretty sure

Answer 20

(-1,6) is in the second quadrant (upper left quadrant)

Answer 21

and (-1,6) close to the y-axis

Answer 22

ooooh 3.

Answer 23

better

Answer 24

Thank you

Answer 25

you're welcome