Identify an equation in point-slope form for the line perpendicular to y =3/4x -4 that passes through (-1, 7).

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

3 0

Answer:

y - 7 = -4/3(x + 1)

Step-by-step explanation:

Given

y =3/4x -4

(-1, 7)

Convert to point slope form

y - y1 = m(x - x1)

m: represents what the slope is

y - 7 = -4/3(x + 1)

Distribute -4/3

-4/3 * x = -4/3x

-4/3 * 1 = -4/3

y - 7 = -4/3x - 4/3

Add seven in both sides

21/3 -4/3 = 17/3

y = -4/3x + 17/2

Answer

linear equation: y = -4/3x + 17/2

point-slope form: y - 7 = -4/3(x + 1)

You might be interested in

1) A water park charges $5 for entry into the park and an additional $2 for each of the big waterslides. Steven spent $17 on his

777dan777 [17]

1.) The answer is A. 5+2x = 17. The x in the equation signifies the number of times Steven went to the big slides. The 5 represents the fixed cost of the slide. The total expenditure in the water park is 17 dollars, and the 2 represents the cost of using 1 big slide.

2.) The answer is still letter A. 5 +2x =17.

8 0

2 years ago

Find the probability that the mean annual preciptiation will be between 32 and 34 inches. variable is normally distributed

liq [111]

Supposing, for the sake of illustration, that the mean is 31.2 and the std. dev. is 1.9.

This probability can be calculated by finding z-scores and their corresponding areas under the std. normal curve.
34 in - 31.2 in
The area under this curve to the left of z = -------------------- = 1.47 (for 34 in)
1.9
32 in - 31.2 in
and that to the left of 32 in is z = ---------------------- = 0.421
1.9

Know how to use a table of z-scores to find these two areas? If not, let me know and I'll go over that with you.

My TI-83 calculator provided the following result:

normalcdf(32, 34, 31.2, 1.9) = 0.267 (answer to this sample problem)

5 0

2 years ago

Which expression has a value of 15 when n = 7? 43 minus 5 n 3 n minus 5 6 n minus 28 19 minus StartFraction 28 Over n EndFractio

andrey2020 [161]

Answer:

$19-\dfrac{28}{n}$ is the expression with value of 15 when n = 7.