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Varvara68 [4.7K]
3 years ago
9

Which of the following ordered pairs could represent the y-intercept of a function.

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0
<h3>Answer: (0,5)</h3>

This is because the x coordinate is 0. For any y intercept, the x coordinate is always 0 as this indicates the point is on the y axis.

Contrast this with something like (9,0) and we see that y = 0 indicating this point is an x intercept (it is on the x axis).

You might be interested in
Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

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

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

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

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
  • slope of equation C is -4/3
  • slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
1 year ago
Write an equation of the line with the given slope and y intercept: m = 2, b = - 3/4​
Alex

Answer:

y = 2x - 3/4

Step-by-step explanation:

Adapt the slope-intercept form:  y = mx + b.

Making the indicated substitutions, we get

y = 2x - 3/4

4 0
3 years ago
Kylie starts with $145 in her piggy bank. Each month she adds $20.
djverab [1.8K]

Kylie's first month collection, a1= $ 145

Second month collection , a2= $145+ 20

Third month collection, a3  = $145 +2*20

.

.

.

.

so for n months collection = an-1+20

We get an= 20 + an-1  and a1=145


4 0
3 years ago
39 + 6s + 14g + y.<br> What is the answer to it
Kruka [31]

Answer:

pretty sure its,100

Step-by-step explanation:

4 0
3 years ago
The first term of an arithmetic sequence is -5, and the tenth term is 13. find the common difference
Vilka [71]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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