Question

Question

Answer 1

Answer:

¼

Step-by-step explanation:

The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.

Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.

The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.

The red line has a negative slope. It slants down from left to right.

Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)

$slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0}$

$slope(m) = \frac{1}{4}$

The slope of the line that is parallel to the blue line is ¼.