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?
$4x - y = 15$
$-4x + y = 15$
$-4x - y = 15$
$4x + y = 15$

Explanation:

Step1: Find the slope

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using the points \((0,15)\) and \((2,23)\), \(m=\frac{23 - 15}{2-0}=\frac{8}{2} = 4\).

Step2: Use the slope - intercept form \(y=mx + b\)

We know \(m = 4\) and \(b=15\) (from the point \((0,15)\)). So \(y = 4x+15\).

Step3: Convert to standard form \(Ax+By = C\)

Subtract \(4x\) from both sides: \(-4x + y=15\).

Answer:

\(-4x + y = 15\)