Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of

Mathematics

1 answer:

Otrada [13]2 years ago

3 0

Answer:

y = -3/2x + 2

Step-by-step explanation:

Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.

y = 2/3x + 8 becomes

2 = -3/2(0) + b We substitute in the x and y values, but we have to figure out what the last number will be.

2 = 0 + b

b = 2

So put the whole equation together

y = -3/2x + 2

You might be interested in

Câu 4.19 . Vi phân cấp hai của hàm L ( x ; y )

laila [671]

Answer:

hi i dont understan hahahag

6 0

3 years ago

Can someone help me with thiis?

3241004551 [841]

I believe the expression would be 7(g)+7

4 0

3 years ago

If I roll two six-sides dice, what is the probability that the sum of the numbers that show up on the dice is 3 or less?

liq [111]

Answer:

1/12

Step-by-step explanation:

first we have to find all the possibilities of getting a sum of 3 or less: 1+1 or 1+2 and we count the second combination 2 times because the numbers can be on either of the dices so we have a total of 3 possibilities. all the possible pairimg of dice are 6*6=36 because each dice has 6 sides and we can get either of them. so the probability would be the chance of getting a sum of 3 or less divided by all the diff combination which equals 3/36 or 1/12 which is roughly around 8.3%

4 0

2 years ago

A rectangular, above-ground swimming

gregori [183]

The answer is A. 158 lbs

3 0

3 years ago

Solve the quadratic equation numerically (using tables of x- and y-values).

Stells [14]

Answer:

Third Option: $x=6$ or $x=-3$