Question

Find the slope if it exists.
a.) 2x-4y=8

b.) y=9

Answer 1

\[\huge\ Slope=m=\frac{ -coefficient \ of \ x }{ coefficient \ of \ y }\]

Answer 2

so far i have this:
2x-4y=8
-4y=-2x+8
y=-1/4(-2x+8)
y=
i get stuck right there

Answer 3

so far i have this: 2x-4y=8 -4y=-2x+8 y=-1/4(-2x+8) y= i get stuck right there

Answer 4

y=-1/4(-2x+8)

distribute the -1/4 that means multiply -1/4 times each term inside the parens

\[ y= -\frac{1}{4} \cdot -2x -\frac{1}{4} \cdot 8 \]
can you simplify this to get it in the form y= mx+b ?

Answer 5

would you multiply the -1/4*-1/4*8?

Answer 6

for part b) y=9
you can look at the graph to determine the slope

Answer 7

would you multiply the -1/4*-1/4*8?

no. You have 2 terms. the first term is -1/4 * -2 *x

Here is an example with easier numbers 2*3*x is 6*x or 6x
you multiply the numbers, but leave the x.

now try
\[ -\frac{1}{4} \cdot -2 \cdot x\]

Answer 8

notice you have a minus times a minus so you get a positive

to multiply fractions, multiply top times top and bottom times bottom

(whole numbers like 2 have a "bottom" of 1 .... 2 is the same as 2/1 )

Answer 9

so it would be -1/4 * -1/4 * 8 = 1/16 * 8 = .5 or 1/2

Answer 10

so my answer would be 1/2???

Answer 11

you start with
\[ y= -\frac{1}{4} \cdot -2x -\frac{1}{4} \cdot 8 \]

when you are done, the x does not disappear.

try the first term again:
\[ -\frac{1}{4} \cdot -2 \cdot x \]

Answer 12

sorry this is just all confusing to me...

Answer 13

.5

Answer 14

.5x

Answer 15

you have just 2 numbers and x multiplied together
\[ -\frac{1}{4} \cdot -2 \cdot x\]
you can multiply -1/4 times -2 BUT LEAVE the X in

Answer 16

so it would be .5x?

Answer 17

is would be
\[ \frac{2}{4} x \]
which you can simplify to 1/2 (or 0.5)

now to finish this (but you already know the slope, it's the number in front of the x)

\[ y= -\frac{1}{4} \cdot -2x -\frac{1}{4} \cdot 8 \]
\[ y= \frac{1}{2}x -\frac{1}{4} \cdot 8 \]
can you simplify the 2nd term: -1/4 * 8 ?

Answer 18

-2

Answer 19

yes , so the equation is
y = 1/2 x - 2
that is in "slope-intercept" form y= mx+b
m is the slope (m is the name they give to the number in front of the x)
in this problem m is 1/2
the intercept (called b) is -2

Answer 20

for question (b) y=9
this is a bit tricky, but we could write this as
y = 0x +9
now match this to y= mx+b
what is m for this problem?

Answer 21

0

Answer 22

so that is the slope for the line y=9

Answer 23

ok...thanks!

Answer 24

is there anyway you could help me with a few more?

Answer 25

post the problem

Answer 26

ok let me close this one