Question

4.multiple choicethe scatter plot shows the results of a survey about age and daily time spent playing video games. which equation best represents the line of fit? video games a $y = 0.8x + 90$ b $y = -0.8x + 9$ c $y = 1.25x + 90$ d $y = -1.25x + 90$

Explanation:

Step1: Identify y-intercept (b)

The line of fit crosses the y-axis at $y=90$, so $b=90$.

Step2: Calculate slope (m)

Use two points on the line: $(0,90)$ and $(72,0)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-90}{72-0}=-\frac{90}{72}=-1.25$

Step3: Form line equation

Use slope-intercept form $y=mx+b$.
Substitute $m=-1.25$ and $b=90$.

Answer:

D. $y = -1.25x + 90$