Question

Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept form. (c) Graph both of these lines on the same axes and submit your graph to the Dropbox. y = 2x 6, (-1, -2)

Answer 1

is the line y = 2x + 6...?

Answer 2

yes

Answer 3

(a) the gradient of the parallel line is 2, the same are the given line

then use the point slope formula to find the equation

\[y - y _{1} = m(x -x _{1})\] simplify and write in point slope form... (x\1 an y\1) come from the given point and m = 2

(b) the perpendicular has a gradient of -1/m . The value of m was found in part a.

use the formula and point again...

Answer 4

ok