Question

2 create a true statement about the slope and y - intercept of the graph.
circle the correct answer from each drop - down menu to complete the statement.
the slope of the line is and the y - intercept is

Explanation:

Step1: Find two points on the line

Let's take two points \((x_1,y_1)=(0, - 6)\) (y - intercept point) and \((x_2,y_2)=(8,-10)\)

Step2: Calculate the slope

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\)
Substitute the values: \(m=\frac{-10-(-6)}{8 - 0}=\frac{-10 + 6}{8}=\frac{-4}{8}=-0.5\)
The y - intercept is the value of \(y\) when \(x = 0\). From the point \((0,-6)\), the y - intercept \(b=-6\)

Answer:

The slope of the line is \(-0.5\) and the y - intercept is \(-6\)