Question

question 6 5 pts type of slope m = b =

Explanation:

Step1: Determine type of slope

The line rises from left - to - right, so it is a positive slope.

Step2: Find two points on the line

Let's take two points \((x_1,y_1)=(0, - 2)\) and \((x_2,y_2)=(2,0)\)

Step3: Calculate the slope \(m\)

Using the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\), we have \(m=\frac{0-( - 2)}{2 - 0}=\frac{2}{2}=1\)

Step4: Find the \(y\) - intercept \(b\)

The \(y\) - intercept is the \(y\) - value when \(x = 0\). From the point \((0,-2)\), \(b=-2\)

Answer:

Type of slope: Positive
\(m = 1\)
\(b=-2\)