Question

What is the slope of the blue line?what is the slope of a parallel line?

Answer 1

To find the slope (m) of a line given two points (x1, y1) and (x2, y2), we can use the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

Points (-3,2) and (0,-2) lies on the blue line, then its slope is:

`m_1=(-2-2)/(0-(-3))=-(4)/(3)`

Two lines are parallel if they have the same slope. Then,

Original slope: -4/3

Parallel slope: -4/3