Question

Erika plays basketball and started a tournament with 15 three point shots on the season.the graph relates her total season three-pointers with the number of games played in the tournamen.

Answer 1

The standard form of the equation is -4x + y = 15

The equation can be expressed in slope intercept form thus :

• y = bx + c
• b = slope ; c = intercept

Using the pair of points :

• (3, 27) ; (0, 15)

b = (15-27)/(0-3) = 4

y = 4x + c

Finding the intercept;

15 = 4(0) + c

c = 15

Now we have:

y = 4x + 15

Expressing in standard form: Ax + By = C

subtract 4x from both sides to isolate 15

y - 4x = 4x - 4x + 15

y - 4x = 15

Complete Question:Erika plays basketball and started a tournament with 15 three-point shots on the season. The graph relates her total season three-pointers with the number of games played in the tournament.

Which equation in standard form represents the relationship shown in the graph?

y−23=4(x−2)

y = 4x + 15

4x + y = 15

−4x+y=15

y=−4x+15