Jasmine plays a game on her phone. The scatter plot shows her score and the number of minutes she ploys. A good line of fit is drown through the points \( (10,55) \) and (16, 82). \( m= \) 4.5 What is the \( y \)-intercept of the line of fit? \[ b= \] \( \square \) 7 18 9 (

To find the \( y \)-intercept \( b \) of the line of fit, we can use the slope-intercept form of a linear equation, which is given by: \[ y = mx + b \] where: - \( m \) is the slope, - \( b \) is the \( y \)-intercept, - \( x \) is the independent variable (in this case, the number of minutes played), - \( y \) is the dependent variable (the score). ### Step 1: Use the slope \( m \) We are given that the slope \( m = 4.5 \). ### Step 2: Use one of the points to find \( b \) We can use one of the points on the line to find \( b \). Let's use the point \( (10, 55) \). Substituting \( x = 10 \), \( y = 55 \), and \( m = 4.5 \) into the equation: \[ 55 = 4.5(10) + b \] ### Step 3: Solve for \( b \) Calculating \( 4.5(10) \): \[ 4.5(10) = 45 \] Now substituting back into the equation: \[ 55 = 45 + b \] To isolate \( b \), we subtract 45 from both sides: \[ b = 55 - 45 \] \[ b = 10 \] ### Conclusion The \( y \)-intercept \( b \) of the line of fit is: \[ b = 10 \] Thus, the answer is: \[ b = 10 \]