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Aleksandr [31]
2 years ago
6

What is the equation of the blue line?

Mathematics
1 answer:
sergejj [24]2 years ago
6 0

Answer:

• From the general equation of a line:

{ \rm{y = mx + b}} \\

  • m is slope
  • b is y-intercept.

→ Consider points (4, 4) and (2, 3)

{ \rm{slope =  \frac{y _{2} - y _{1} }{x _{2}  - x _{1} } }} \\  \\ { \rm{m =  \frac{3 - 4}{2 - 4} =  \frac{ - 1}{ - 2}  }} \\  \\ { \underline{ \rm{ \:  \: m =  \frac{1}{2}  \:  \: }}}

→ find the y-intercept:

{ \rm{y = mx + b}} \\ { \rm{3 = ( \frac{1}{2}  \times 2) + b}} \\  \\ { \rm{3 = 1 + b}} \\  \\ { \underline{ \rm{ \:  \: b = 2 \:  \: }}}

• Therefore, equation of a blue line is

{ \boxed{ \rm{y =  \frac{1}{2}x + 2 }}} \\

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Yu and Elena each bought between 7 and 9 yards of ribbon. Yu
Mumz [18]

Given: Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon  Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbon. Elena bought 6 pieces of ribbon.

To find: Who can buy which ribbon

Solution:

Ribbon Sizes

1 2/3 = 5/3  yard

4/5  yard

3 1/2  = 7/2 Yard

Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon

Yu bought 3 pieces of ribbon

=> 3 * 5/3  = 5

  3 * 4/5  = 2.4

  3 * 7/2   = 10.5

Nailah  bought 5 pieces of ribbon

=> 5 * 5/3  = 8.33

   5 * 4/5  =  4

   5 * 7 /2   = 17.5

Elena bought 6 pieces of ribbon

=> 6 * 5/3  = 10

  6 * 4/5  = 4.8

  6 * 7 /2   = 21

Only value between 7 & 9 is 5 * 5/3  = 8.33

hence Nailah only can buy 1 2/3 = 5/3  yard ribbon

or there is some mistake in the data

6 0
2 years ago
PLS HELP ASAP THIS IS DUE TODAY AND IM JUST NOW REMEMBERING IT
ANTONII [103]

<em>i think it's just simply</em> y - 7 <em>?</em>

7 0
3 years ago
Read 2 more answers
Write the equation of the line in slope-intercept form.
Talja [164]

Answer: y=-3/4x

Step-by-step explanation:

The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!

6 0
2 years ago
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ExtremeBDS [4]

Answer:

the y-int is -47 and the x int is 14 and I need a better picture to tell u the rest

Step-by-step explanation:

7 0
3 years ago
Nadine walked 1⁄4 of a mile, Janet walked 3⁄8 of a mile, and Perry walked 5⁄6 of a mile. Who walked the farthest? How much farth
nydimaria [60]
To compare, we will change all to the same denominators:

\text {Nadine =}  \dfrac{1}{4}  =  \dfrac{6}{24} \text { miles}

\text {Janet =}  \dfrac{3}{8}  =  \dfrac{9}{24} \text { miles}

\text {Perry =}  \dfrac{5}{6}  =  \dfrac{20}{24} \text { miles}

Perry walked the furthest.

\dfrac{20}{24} - \dfrac{6}{24} = \dfrac{14}{24} = \dfrac{7}{12}

Perry walked 7/12 miles more than Nadine.


8 0
3 years ago
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