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Leni [432]
3 years ago
7

Find the equation of the line passing through the points 1,-5) and (9,11). y = 2x + [?]

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer:

y = 2x - 7

Step-by-step explanation:

Looks like we already have the slope of this line:  It is 2.  Working with the point (1, -5), we have x = 1 and y = -5 and can from this info easily find the y-intercept, b:

y = mx + b becomes

y  = 2x + b, which in turn becomes

-5 = 2(1) + b, or

b = -7,

and so the desired equation is y = 2x - 7

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Which step contains an error?
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Step-by-step explanation:

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The chess club members bought 6 tickets to a tournament for $15. How much would they have paid if all 9 members wanted to go?
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8 0
3 years ago
Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min
Juli2301 [7.4K]

Answer:

-6 meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes)     Altitude (meters)

6                                   -20.4

9                                   -27.6

12                                   -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 represents difference of two y-coordinates,

x_2-x_1 represents difference of two corresponding x-coordinates of y-coordinates.

Let (6,-20.4) be (x_1,y_1) and (9,-27.6) be (x_2,y_2).

m=\frac{-27.6-(-20.4)}{9-6}

m=\frac{-27.6+20.4}{3}

m=\frac{-7.2}{3}

m=-2.4

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

y=mx+b, where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting m=-2.4 and coordinates of point (6,-20.4), we will get:

-20.4=-2.4(6)+b

-20.4=-14.4+b

-20.4+14.4=-14.4+14.4+b

-6=b

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is -6 meters.

6 0
3 years ago
Read 2 more answers
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