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Line b passes through points (1, 4) and (6, 8). Line c is parallel to line b. What is the slope of line c?

User Neury
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Final answer:

The slope of line c, which is parallel to line b, is 0.8. This is calculated using the formula for slope (change in y over change in x) between two points that line b passes through.

Step-by-step explanation:

To find the slope of a line that is parallel to another, we need to understand that parallel lines have the same slope. The given line b passes through points (1, 4) and (6, 8). To calculate the slope of line b, you use the formula:

slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

So for line b:

m = (8 - 4) / (6 - 1) = 4 / 5 = 0.8

Since line c is parallel to line b, it will have the same slope. Therefore, the slope of line c is also 0.8.

User Ilyes Kooli
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