Help!

Find the equation of the line with a slope of 3/4 and passes through (4-2)

Ira Lisetskai [31]

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

5 0

2 years ago

At a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine t

lianna [129]

Answer:

Step-by-step explanation:

t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).

3 0

2 years ago

6x minus 2y equals 24

Drupady [299]

Answer:

slope:-3 y-intercept 12

6 0

3 years ago

Which technique for gathering data (observational study or experiment) do you think was used in the following studies?(a) The Co

miv72 [106K]

Answer:

For question a, the correct option is: This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

For question b, the correct option is: This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

For question c, the correct option is: This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.

For question d, the correct option is: This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

Step-by-step explanation: To give us a background on why the options above were chosen, let us see the difference between Observational study and Experimental study.

In an observational study, the researcher draws inferences from an independent variable that is not under his/her control. While in an experimental study, there in an intervention and the effects of the intervention are studied.

Therefore, in the questions a to d above, all we need to do is identity which variables were influenced and which were merely observed.

For question a, the variables were only observed.

For question b, the variables were influenced.

For question c, the variables were also influenced.

For question d, the variables were merely observed.

6 0

2 years ago

These are two similar triangles.<br> What does x equal?

tangare [24]

Answer:

112

Step-by-step explanation:

So, we know that a triangle's sides must add up to have a sum of 180. If you add up your given lengths and you should get 47, not including x. Then if you look at the left side/the one without a given length and it should be identical to the 21, so you know that side is 21. So now add 21 to 47, you should get 68. Finally, you subtract 68 from 180 like this: 180-68, and it should equal 112. So you're answer is 112.

3 0

2 years ago