Write the slope-intercept equation of this line.

when the answers are

A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3

​

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.

In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.

Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:

[tex]y=-\frac{1}{2} x+b[/tex]

2) Determine the y-intercept

In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!

Andy's age is 67, which is 17 less than 12 times bills age. What is bills age?

Each day for the next 4 days, there is a 20% chance of a thunderstorm. Use the simulation shown, where the digits 1 and 2 represent days with a thunderstorm, to estimate the probability of a thunderstorm on at least 2 of the next 4 days. Round your answer to the nearest tenth of a percent if necessary.

Using the diagram, calculate the values of the unknown variables: a, b, and c.

Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?

A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5

what is the total surface area​

A random sample of 10 fields of durum wheat has a mean yield of 39.8 bushels per acre and standard deviation of 3.87 bushels per acre. Determine the 90% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

The price of a necklace was increased by 10% to £121.
What was the price before the increase?

Please help immediately !!

Elaine cannot spend more than $90 each
month for her cell phone and text
messaging service. Her plan states that she
has to pay a set fee of $45 for phone
service and $0.05 per text message she
sends. Which inequality represents the
relationship between the number of text
messages she can send each month, t, and
the total amount she can spend for the cell
phone and text messaging service?

what is the
the distance between a point at (-3,4) and a point at (2,-5)

4.78 times 10 to the 6th power was the largest attendance record of the polar bear express. chilly football extravaganza. 3.98 times 10 to the 6th power attended at the last last pb express event. how many more people were in attendance on the record-setting day?

How many different meals can you order from a restaurant that has a menu with 8 appetizers, 3 entrees, 5 desserts, and 8 drinks? (Assume that you are getting one item from each section of the menu.)​

Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van

What is the mean for these numbers?
5,5,5,5

help its due in 1 hour !!!​

Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat

3. Determine the area under the standard normal curve to the right of z = 0.55.

a.)0.2912
b.)0.7054
c.)0.7088

If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?

Find the x-intercept of the line whose equation is 8x+2y=4.
1/2
4
2

Find the area of the smaller sector round to the nearest tenth. Need help fast!!

Marcie conducts an experiment with a bag of marbles. She draws one marble from the bag, records its color, returns the marble to the bag, and draws again. The results of her experiment are shown below.

Marble Color Number of
Times Drawn
red 5
blue 6
green 4
purple 1
yellow 4
Based on Marcie’s experiment, what proportion of the marbles in the bag would she expect to be purple?

A.
20%
B.
5%
C.
1%
D.
10%

what other classifications can a rhombus be​

The cost of interest of a $3,000 loan at 12% interest per year is $1003.80.
What is the term length for this loan in years?

One year, the population of a city was 143,000. Several years later it was
138,710. Find the percent decrease.

- En una tienda, durante las rebajas, encontramos los siguientes carteles: “ De 150 euros a 90 euros” y “De 40 euros a 24 euros”. ¿Tienen los dos artículos el mismo porcentaje de rebaja ?

Does anybody have the answer

A rectangular garden has an area of 144ft. If the base is 8ft long, what is the height ?
A.18
B.36
C.64
D.72

give three rational Number lying between 1/3 and 1/5​

Find each angle measure Make sure to give all 3

What is the surface area of the square pyramid, in square inches (Please Help)