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2 years ago

A line with a slope of 6 passes through the point (2,3) . What is it’s equation in slope-intercept form

Mathematics

2 answers:

Natasha_Volkova [10]2 years ago

8 0

point slope form

y-y1 = m(x-x1)

y-3 = 6(x-2)

distribute

y-3= 6x-12

add 3 to each side

y = 6x-9

this is in slope intercept form

Free_Kalibri [48]2 years ago

6 0

Answer:

$y = 6x - 9$

Step-by-step explanation:

Plug the coordinates and the rate of change [slope] into the Slope-Intercept Formula:

3 = 6[2] + b

−9 = b

$y = 6x - 9$

I am joyous to assist you anytime.

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2 years ago

The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or

tigry1 [53]

Answer-

The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%

Solution-

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

$P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}$

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}$

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3 years ago