Write each of the lines in the form so you can read off their gradients.
Then evaluate the gradient of the line through the two points.
Parallel lines have the same gradient, and the gradients of perpendicular lines multiply to give -1.
Find k so that the line through (4, -1) and (k, 2) is
a) parallel to 3y + 2x = 6
b) perpendicular to 2y - 5x = 1
How do I go about doing this? I think I have to get the given equation into slope-intercept form to get the slope but not sure how to get a coordinate of a point. Any ideas?
Sooooo if I use the slope formula y2 - y1 / x2 - x1 where x1 or x2 = k it should equal 2/3 which is the slope of the first line? hmm but that wouldn't work considering if you take y2 - y1 no matter which y coordinate you use first it doesn't equal a 2.... Any hints?