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sladkih [1.3K]
3 years ago
14

Julia plays volleyball and finished the regular season with 25 digs. The graph relates her total number of digs for the season t

o the number of games played in the post-season tournament. Graph in the coordinate plane with title Julia’s volleyball digs. Vertical axis goes from 0 to 60 in increments of 5 and is labeled number of digs. Horizontal axis goes from 0 to 10 in increments of 1 and is labeled games played. A ray on the graph starts at point begin ordered pair 0 comma 25 end ordered pair and goes through points begin ordered pair 4 comma 37 end ordered pair and begin ordered pair 8 comma 49 end ordered pair. What is the equation in standard form that represents the relationship shown in the graph? y=3x+25 y−37=3(x−4) 3x+y=25 −3x+y=25 y=−3x+25
Mathematics
2 answers:
MariettaO [177]3 years ago
7 0
The correct answer would be -3x+y=25
Marizza181 [45]3 years ago
3 0

Answer:

As given : Graph in the coordinate plane with title Julia’s volleyball digs. Vertical axis goes from 0 to 60 in increments of 5 and is labeled number of digs. Horizontal axis goes from 0 to 10 in increments of 1 and is labeled games played. A ray on the graph starts at point begin ordered pair 0 comma 25 end ordered pair and goes through points begin ordered pair 4 comma 37 end ordered pair and begin ordered pair 8 comma 49 end ordered pair.

As the ray passes through (0,25) and (4,37) and (8,49).

Equation of line passing through (a, b) and (p,q) is given by:

 →  \frac{y-b}{x-a}=\frac{q-b}{p-a}

→Equation of line passing through (0,25) and (4,37) is :

\frac{y-25}{x-0}=\frac{37-25}{4-0}=3\\\\y -25=3x\\y =3x + 25

As , y= 3 x + 25,  also passes through (8,49) also.

Equation of line is : y = 3 x + 25 or in Standard form : - 3 x + y = 25

Option (D) is the standard form of line which is : - 3 x + y = 25




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