Mathematics, 28.11.2019 11:31 leandrogarin37p2g5ds

What equation would represent the same linear relationship for the points (40,80) (80,115) (120,140) (160,165)

Answers: 3

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Answers

You can use the formula y1-y2=m(x1-x2)

to find m, you just do (y2-y1)/(x2-x1) so

(115-80)/(80-40)= 35/40= 7/8

then plug it into the point slope equation:

y-115=7/8(x-80)

y-115=7/8x-70
y= 7/8 x + 45

Answer from: ashleymartinez147

Assuming they are linear
they should have the same slope and y intercept
y-y1=m(x-x1)
m=slope
(x1,y1) is a point on the line

so pick any 2 points
(40,80) and (80,115)
for 2 points (x1,y1) and (x2,y2) the slope is (y2-y1)/(x2-x1)
for (40,80) and (80,115), the slope is (115-80)/(80-40)=35/40=7/8

y-y1=7/8(x-x1)
if we pick (40,80)
(x,y)
x1=40
y1=80
so
y-80=7/8(x-40)
if we expand
y-80=7/8x-35
add 80
y=7/8x+45
captain, we have a problem
the equation for the last 3 points ((80,115) (120,140) (160,165) ) is y=5/8x+65
while the equation for the first 2 points ((40,80) (80,115)) is y=7/8x+45

Answer from: Quest

in the attachment. i didn't see your choices. the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

Which graph represents the same relation as the set (-3,,,-2)?

Answer from: Quest

{x = -1/2 , y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer: {x = -1/2 , y = -1

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What equation would represent the same linear relationship for the points (40,80) (80,115) (120,140)...

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