All categories

3 years ago

Which of the following equations are the correct answer

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

(-6,4) and (3, 1)
slope =(4-1)/(-6-3) = -3/9 = -1/3

equations
y - 4 = -1/3(x + 6)
y - 1 = -1/3(x - 3)

answer C and F
C. y - 1 = -1/3(x - 3)
F. y - 4 = -1/3(x + 6)

You might be interested in

Demarco paid $3.19 per gallon both times that he stopped for gas on a weekend trip. He bought 12.53 gallons of gas the first tim

maks197457 [2]

He paid 3.19 per gallon both times......first time he bought 12.53 gallons....next time he bought 11.86 gallons

so ur expression is : 3.19(12.53 + 11.86)

5 0

3 years ago

Read 2 more answers

The distance from the school to Brandi's house is 1,240 meters. Leaving the school, she rides her bicycle for 60 seconds at a sp

Alina [70]

14,880 seconds i think

4 0

3 years ago

I need someone who’s very smart

tino4ka555 [31]

The first one is in the hundredths place, and the second one is in the tenths place.

Hope this helps you! Happy Thanksgiving, here's a turkey!

3 0

3 years ago

Read 2 more answers

Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took

jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

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

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b = -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

3 0

3 years ago

How to I make 3x+6y=18 into y=my+b

kirza4 [7]

Answer:

Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(18)=0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

3x + 6y - 18 = 3 • (x + 2y - 6)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve x+2y-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-6 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

y-intercept = 6/2 = 3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

x-intercept = 6/1 = 6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -1.000/2.000 = -0.500

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

3 0

3 years ago