Question

Choose the slope-intercept equation of the line that passes through the point shown and is parallel to the line shown.

Answer 1

y = 1/3x + 14/3

y = 3x + 10

y = -3x - 2

y = - 1/3x + 10/3

Answer 2

the point shown is -2,4

Answer 3

can you tell the slope of the line ?

Answer 4

2, -8

Answer 5

what 2,-8 ?

Answer 6

the slope

Answer 7

slope is one value .. there is not coordinates for slope

Answer 8

then idk

Answer 9

two options :
find it using two points on the graph or
graphic way : how much y changes if you go 1 unit towards the positive x direction

Answer 10

3

Answer 11

two points on the graph are : (0,6) , (2,0)
in order to find the slope you do :
m = (y2- y1)/(x2-x1) = (0-6)/(2-0) = -3

Answer 12

as you can see from the graph for every unit of x you go down by 3 units of y
so graphic way gives us as well -3.

Answer 13

now in order to get a line parallel to this line we have to have the same slope

so now we have to construct a line equation from the given point -2,4 and a slope of -3

you do so by :

y= y1 +m(x-x1)

Answer 14

y = 4 + -3(-2 -X1)

Answer 15

you have to plug -2 in x1 and not in x

Answer 16

just like you plugged 4 in y1

Answer 17

so it would be?

Answer 18

y = 4 -3(x+2)
y = 4 -3x -6
y = -3x -2

Answer 19

so its C?

Answer 20

yes
well in fact we could say it's C once we knew that the slope is -3

Answer 21

ok :)

Answer 22

its the only option with such slope

Answer 23

thanks