Question

Complete the equation of the graphed linear function. Write the slope in decimal form.

y = x +

The graph of the function goes through point negative 4, negative 1 and point 0, negative 4.

Answer 1

@jigglypuff314

Answer 2

Hello @alyssa831 ! :)

first let's find the slope
\[slope = \frac{ rise }{ run } = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} } \]when given points (x1, y1) and (x2, y2)

do you know how to do this? :)

Answer 3

i will try @jigglypuff314

Answer 4

slope=rise/run=-4,-1/0,-4 right?

Answer 5

not quite :)

from (-4, -1) we get x1=-4 and y1=-1
from (0, -4) we get x2=0 and y2=-4
so
slope = (-4 - (-1)) / (0 - (-4))
= (-4 + 1) / (0 + 4) = ?

Answer 6

-3/4
-0.75?

Answer 7

yep! so that's your slope :)

Answer 8

ok so what next

Answer 9

now we have to find the y-intercept
that is when x = 0
I think they already gave that point for your though ;)

Answer 10

-1 and -4 are the y intercepts i think

Answer 11

hmm only -4 is a y *intercept*
because when x is 0, y is -4
the other one is just a y *value*

so we have the y intercept = -4

got that? :)

Answer 12

yes

Answer 13

then they want you to put those two numbers into the "slope intercept form"

which is the y = m x + b
where m = slope
and b = y intercept

can you plug those two numbers in? :)

Answer 14

so its y=-0.75x+-4

Answer 15

yes :)

Answer 16

thank you

Answer 17

Glad I could help! :)