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Yanka [14]
3 years ago
10

Write the equation of a line in slope - intercept form using m=2 and (-1,5)

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m=2\to y=2x+b.

Put the coordinates of the point (-1, 5) to the equation of the line:

5=2(-1)+b

5=-2+b       <em>add 2 to both sides</em>

7=b\to b=7

Answer: y=2x+7

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Write an equation that pases through a pair of points ( − 3 − 1 ) ( 2 , 2 )
wolverine [178]

Answer:

y=3/5x

Step-by-step explanation:

Im pretty sure this is the correct answer

8 0
2 years ago
Beau buys a 3-pound bag of trail mix for a hike. He wants to make one-ounce bags for his friends with whom he is hiking. How man
den301095 [7]
1 pound = 16 ounces

3 pounds = 3*16 ounces
3 pounds= 48 ounces

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4 0
3 years ago
Which ordered pair is a solution of this<br> equation?<br> -3x + 7y - 6<br> =
Mumz [18]

Answer:

There are actually an infinite number of ordered pairs that will satisfy the equation y=3x+7 including (-1,4), (0,7) and (1, 10).

Step-by-step explanation:

5 0
2 years ago
What is the factored form of this expression? 4t2 − 27t + 18
seraphim [82]

Answer:

(4t − 3) (t − 6)

Step-by-step explanation:

Using AC method:

Given a quadratic ax² + bx + c, find factors of ac that add up to b.  Divide those factors by a and reduce.  The denominators become the coefficients and the numerators become the constants.

Here, a = 4, b = -27, and c = 18.

ac = 4 × 18 = 72

Factors of 72 that add up to -27: -3 and -24

Divide factors by a: -3/4 and -24/4

Reduce: -3/4 and -6/1

So the factored expression is:

(4t − 3) (t − 6)

5 0
3 years ago
The 1985 Mexico City earthquake measured a magnitude 8.0 on the Richter scale. The Richter scale uses the function M (I) = log (
Travka [436]

Answer:

The correct option is C: I = 10⁸I₀.   

Step-by-step explanation:

The function of the Richter scale is:

M_{(I)} = log(\frac{I}{I_{0}})

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:

8.0 = log(\frac{I}{I_{0}})

10^{8} = \frac{I}{I_{0}}

I = 10^{8}I_{0}

Therefore, the correct option is C: I = 10⁸I₀.                

I hope it helps you!                    

7 0
3 years ago
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