Question

a linear function passes through the points (-4, -2) and (2, 10). what is the rate of change of the function?
-2
2
3
6
question 4
5 points
what does a positive association in a scatterplot mean?
as x increases, y increases
the points form a perfect line
there is no trend

Explanation:

Step1: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-4,-2)\) and \((x_2,y_2)=(2,10)\).

Step2: Substitute the values into the formula

\(m=\frac{10-(-2)}{2-(-4)}=\frac{10 + 2}{2+4}=\frac{12}{6}\)

Step3: Simplify the fraction

\(\frac{12}{6}=2\)

A positive association in a scatter - plot means that as the \(x\) - value (independent variable) increases, the \(y\) - value (dependent variable) also increases.

Answer:

2