Which equation represents this line in point-slope form?

Mathematics

2 answers:

ss7ja [257]3 years ago

7 0

Formular for equation is
y = mx + b

The gradient of the line
= y1 - y2/x1 - x2
= 4 - (-4)/(-3) - 3
= 8/-6
= -1⅓

Sub in the values to the formular:
4 = -1⅓(-3) + b
4 = 4 + b
b = 0

∴ Equation for this graph is y = -1⅓x

For each of the options, simplify and match the equation.

Option 1:
(y + 4) = 1⅓(x + 3)
y + 4 = 1⅓x + 4
y = 1⅓x (wrong)

Option 2:
(y - 4) = -1⅓(x + 3)
y - 4 = -1⅓x - 4
y = -1⅓x (answer matches)

∴ Answer is B.

Sedbober [7]3 years ago

4 0

(y-4) = -4/3(x+3) since formula for point slope is (y - y1) = m(x - x1)

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Step-by-step explanation:

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

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

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 pvalue, we get the probability that the value of the measure is greater than X.

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