Question about the calculus

Question

Find an equation of the line that satisfies the given conditions.

Through (5, 8);  parallel to the line passing through (6, 6) and (2, 2)

Answer 1

1. Find the slope of the line passing through (6, 6) and (2, 2):
2. Parallel lines never intersect, so they must have the same exact slope. So m = 1 for the line that you want, and it passes through (5, 8). Use either the point-slope form and rearrange into slope-intercept form, or you can use the slope-intercept form to find the y-intercept.

Here is the point-slope form, rearranged into slope-intercept form:

y - 8 = 1(x - 5)

y - 8 = x - 5

y = x + 3