Question

Choose the correct slope of the line shown on the graph below.

Please Explain

Answer 1

This is the graph.

Answer 2

it helps to pick out all the points where the line hits the corner of one of the little squares

Answer 3

Then the coordinates are (-3,2)

Answer 4

if we are looking at the same graph; i see 2 points we can use

(-5,-2) and (0,2)

Answer 5

well the only answers i have are negative 5/4, 5/4, 4/5

Answer 6

thats no help to us ... yet.

when we get to the end of the process, then we can compare it to the options

Answer 7

okay so then what should i do?

Answer 8

can you see why i picked the 2 points I did?

Answer 9

no...

Answer 10

then your question should not be "what to do next".

Answer 11

i cant even tell right now if we are using the same graph.

Answer 12

why did you choose (-3,2) to start with? the graph you posted does not even have that point on the line

Answer 13

well i don't know much about slopes...

Answer 14

slope is just measureing how far something is leaning ....

in order to find the slope of this line, you first have to be able to read a graph correctly

Answer 15

ahhhh okay

Answer 16

once we find 2 points to compare, the rest is simple enough; so in order to do other problems of this nature on your own, you need to be able to understand how i choose (-5,-2) and (0,2)

Answer 17

yeah now i get it

Answer 18

the next step is to zero out one of the points

( 0 , 2 )
+0 -2 <-- reuse this part
------
( 0, 0 )

whatever we do to one point, we do to the other

(-5,-2)
+0 -2
------
(-5,-4) <-- this gives us the parts to out slope

Answer 19

a point is read as (x,y)

by stacking y/x, we define the slope:

(-5,-4) ; stack y/x to get \(\large \frac{-4}{-5}\)

do you recall what to do when you see to negatives?