Question

directions: drag each label to the correct location on the equation. not all labels will be used.
the following graph shows a relationship between the number of sweaters sold and the temperature.
find the equation for the line of best fit given in the above graph.
540 -7.2 + - -6.4 360 -6.8 75
y = \square x \bigcirc \square

Explanation:

Step1: Identify slope and intercept

The line of best fit has a y-intercept (when \( x = 0 \)) of 540 (from the graph, at \( x = 0 \), \( y = 540 \)). The slope is negative (since as temperature \( x \) increases, sweaters sold \( y \) decreases). Let's calculate the slope. Using two points, say \( (0, 540) \) and \( (75, 0) \) (approximate, since the line crosses x-axis near 75). Slope \( m=\frac{0 - 540}{75 - 0}=\frac{- 540}{75}=-7.2 \).

Step2: Form the equation

The slope-intercept form is \( y = mx + b \), where \( m \) is slope and \( b \) is y-intercept. So \( m=-7.2 \), \( b = 540 \), so the equation is \( y=-7.2x + 540 \).

Answer:

\( y=-7.2x + 540 \) (So in the blanks: first blank \(-7.2\), second blank \(+\), third blank \(540\))