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3 years ago

What is the slope of the line?

Mathematics

2 answers:

yaroslaw [1]3 years ago

5 0

Answer:

D. 3

Step-by-step explanation:

In the Point-Slope Formula, y - y₁ = m(x - x₁), m represents the rate of change [slope], which in this case is 3.

I am joyous to assist you anytime.

GaryK [48]3 years ago

3 0

y+1=3(x-4)

Multiply the bracket by 3

y+1=3x-12

Follow y=mx+b Move +1 to the other side. Sign changes from +1 to -1

y+1-1=3x-12-1

y=3x-13

Slope=m = 3

b= y-intercept=-13

Answer: Slope=m=3- D.

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Line p contains point (6, -5) and is perpendicular to line q. The equation for line q is y = 3x + 5. 1) Write an equation for li

wel

Answer:

$y = -\frac{1}{3}x -3$

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. To find the line, convert the slope of q and substitute it with (6, -5) into point slope form.

y = 3x + 5 is q. It has a slope of 3. So p will have a slope of -1/3.

$y - y_1 = m(x-x_1)\\y - -5 = -\frac{1}{3}(x - 6)\\y + 5 = -\frac{1}{3}x + 2\\y = -\frac{1}{3}x -3$

4 0

3 years ago

I really need help can somebody help me please

Grace [21]

Answer:

To find out the range, you check the minimum and maximum of the graph, and then check the y-component of these minimum and maximum.

You would get the minimum(-6, -6), and maximum(3, 4), get the y-component of these two points, you got the range: -6 to 4

Hope this helps!

7 0

3 years ago

If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less

Wittaler [7]

Answer:

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N(489,6)

This means that $\mu = 489, \sigma = 6$