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melisa1 [442]
3 years ago
7

Which equation represents the line that passes through (5,8) and (9,2)

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

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Y=109x <br>y=79x+2506<br> can some one solve both equations and a graph would be helpful plz
Amiraneli [1.4K]

Answer:

x ≈ 83.533

y = 9105.13

Step-by-step explanation:

Step 1: Substitution

109x = 79x + 2506

30x = 2506

x = 83.533

Step 2: Plug <em>x</em> in

y = 109(83.533)

y = 9105.13

Graphically:

5 0
3 years ago
There are 31 football teams with 11 players on each team. How many players are there in all?
Igoryamba

Answer:

341 players

Step-by-step explanation:

31 x 11

= 341 players

5 0
3 years ago
A satellite dish has cross-sections shaped like parabolas. The receiver is located 13 inches from the base along the axis of sym
horsena [70]

Answer:

Depth = 3.3 inches

Step-by-step explanation:

 Given that the shape of the satellite looks like a parabola

The equation of parabola is given as follows

x^2=4\times a\times y

Where

a= 13

Therefore

x^2=4\times 13\times y

x^2=52\times y

Lets take (13 , y) is a

Now by putting the values in the above equation we get

13^2=52\times y

y=\dfrac{13^2}{52}=3.25

y=3.25 in

Therefore the depth of the satellite at the nearest integer will be 3.3 inches.

Depth = 3.3 inches

7 0
3 years ago
-4x + 7 = 2y - 3<br> y-intercept:<br><br> x intercept:
pantera1 [17]

Answer:

x-intercept: \bigg(\frac{5}{2}, \:0\bigg)

y-intercept: (0,\:5)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x.

-4x + 7 = 2y - 3

-4x+7=2\left(\bold{0}\right)-3

Simplify 2(0):                                          -4x+7=2\cdot \:0-3

Subtract 0 - 3 = -3:                         -4x+7=-3

Subtract 7 from both sides:          -4x+7-7=-3-7

Simplify:                                         -4x=-10

Divide both sides by -4                \frac{-4x}{-4}=\frac{-10}{-4}

\bold{x=\frac{5}{2}}

To find the y-intercept, substitute in 0 for x and solve for y.

-4x + 7 = 2y - 3

-4(\bold{0})+7=2y-3

Switch sides:                               y-3=-4\left(0\right)+7

Simplify -4(0):                              2y-3=-0+7

Add 3 to both sides:                  2y-3+3=7+3

Simplify:                                      2y=10

Divide both sides by 2:             \frac{2y}{2}=\frac{10}{2}

\bold{y=5}

3 0
2 years ago
suppose a compact car uses 1 gallon of fuel for every 27 miles traveled. How would the graph for the compact car compare to the
Gekata [30.6K]
The answer to the question is it would add twenty seven every two times it goes up
6 0
3 years ago
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