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SCORPION-xisa [38]
3 years ago
12

A line with a slope of -2 passes thru the point (4,7)

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

y - 7 = -2(x - 4)

Step-by-step explanation:

We are asked to write the equation of a line in point slope form

Step 1 : find slope

We are given the slope to be -2

Slope m = -2

Step 2: substitute m into point slope form

y - y_1 = m( x - x_1)

y - y_1 = -2 ( x - x _1)

Step 3: substitute the point into the equation

y - y_1 = -2( x - x _1)

( 4 , 7)

x_1 = 4

y_1 = 7

y - 7 = -2( x - 4)

We don't need to open the bracket because we are asked to write the equation in a point slope form

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I need help with my homework please answer this correctly
grin007 [14]

The correct answer choice is "3".

8 0
3 years ago
PLEASE someone help its due tonight im almost done
marusya05 [52]
<h3>Answers:</h3>
  • 48 seconds
  • 3624 feet

========================================================

Explanation:

x = number of seconds that elapse

y = altitude (aka height) of the plane

The equation for plane A is

y = 20.25x+2652

because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes

The equation for plane B is

y = 75.5x

The y intercept is zero because plane B starts on the ground, aka height 0.

------------------

The system of equations is

\begin{cases}y = 20.25x+2652\\y = 75.5x\end{cases}

If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.

75.5x = 20.25x+2652

75.5x-20.25x = 2652

55.25x = 2652

x = (2652)/(55.25)

x = 48

The two planes reach the same altitude at exactly <u>48 seconds</u>

That altitude is <u>3624 feet</u> because

  • y = 20.25*x + 2652 = 20.25*48+2652 = 3624
  • y = 75.5*x = 75.5*48 = 3624

Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.

7 0
2 years ago
2. What is the length of<br> side c? Someone help
kirza4 [7]
A*2 + b* = c*2

(9)*2 + (8)*2

81+64= 145

145=c*2
12.04=c
7 0
3 years ago
Read 2 more answers
A line passes through the point (8,-2) and has a slope of -5/2. Write an equation in slope intercept form
sergij07 [2.7K]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Which of the following is most likely the next step in the series?
Vladimir [108]

Answer:

The answer is C

Step-by-step explanation:

(I'm not completely sure)

3 0
2 years ago
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