Question

The table shows the cost of buying x tickets to a school play. Buying Tickets Number of Tickets, x 2 5 10 13 Cost, y $8.50 $21.25 $42.50 $55.25 If the data are graphed on a coordinate grid, what is the y-intercept of the line that passes through thes points?
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Answer 1

Answer:

y-intercept is zero

Step-by-step explanation:

The general equation of the line passing through the points is

y = mx + b

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

We can pick any two points to get the slope of the line;

m = (55.25-8.5)/(13-2) = 46.75/11 = 4.25

So partially , the equation will be;

y = 4.25x + b

To get b , substitute any point and use its x and y values

We have (2,8.5)

8.5 = 4.25(2) + b

b = 8.5-8.5

b = 0

Answer 2

The y-intercept of the line for number of ticket and cost in the table that passes through the given point is 0.

What is the equation of line?

The equation of the line is the way of representation of a line in the equation form.

The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

The standard form of the equation of line is,

$y=mx+c$

Here, (m) is the slope of the line and (c) is the y intercept.

The table shows the cost of buying x tickets to a school play.

Number of Tickets       x            2         5              10         13,

Cost of Tickets,            y       $8.50   $21.25   $42.50   $55.25

The slope of this line can be given as,

$m=\dfrac{\Delta y}{\Delta x}\\m=\dfrac{21.25-8.50}{5-2}\\m=4.25$

If the number of ticket are two, then the cost is $8.50. The slope is 4.25. Put this values in the above equation, to get y- intercept as,

$(8.50)=(4.25)(2)+c\\c=8.50-8.50\\c=0$

Hence, y-intercept of the line that passes through the point of line which is made with the given table is 0.

Learn more about the equation of line here;

https://brainly.com/question/13763238

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