The slope of a line is and the point (-6, 11) lies on the line. What is the equation of the line in slope-intercept form?

Answers

Answer 1

Answer:

Answer:

Answer: y = 1/2x + 14

Step-by-step explanation:

he equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We know that the slope of the line is 1/2, and we know that the point (-6, 11) lies on the line. We can use this information to solve for b.

Substituting (-6, 11) into the equation y = 1/2x + b, we get:

11 = 1/2(-6) + b

11 = -3 + b

b = 11 + 3

b = 14

Therefore, the equation of the line in slope-intercept form is y = 1/2x + 14.

Answer: y = 1/2x + 14

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Find the value of the combination. From a committee consisting of 8 men and 5 women, a subcommittee is formed consisting of 4 men and 3 women. How many different subcommittees are possible? 80

700

1,716

Answers

Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.

Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.

Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .

Round 6.4 to the nearest whole number