Question

Sonja plays tennis and started a tournament with 43 aces on the season. The graph relates her total season aces with the number of matches played in the tournament. Graph in the coordinate plane with title Sonja’s aces. Vertical axis goes from 0 to 70 in increments of 10 and is labeled number of aces. Horizontal axis goes from 0 to 5 in increments of 1 and is labeled matches played. A ray on the graph starts at point begin ordered pair 0 comma 43 end ordered pair and goes through points begin ordered pair 2 comma 55 end ordered pair and begin ordered pair 3 comma 61 end ordered pair. Which equation in standard form represents the relationship shown in the graph? 6x + y = 43 y−55=6(x−2) −6x+y=43 y = 6x + 43 y=−6x+43

Answer 1

Answer:

-6x+y=43

Step-by-step explanation:

Standard form of equation is:

Ax+By=C ; Here

A=-6 ; B=1 ; C=43

Substituting point (0,43), we get

-6(0)+43=43 (L.H.S=R.H.S)

At point (2,55), we get

-6(2)+55=43 (L.H.S=R.H.S)

At point (3,61), we get

-6(3)+61=43 (L.H.S=R.H.S)

Hence, standard form is:

-6x+y=43