Question

Write an equation of a line perpendicular to y = x + 4 in slope-intercept form that passes through the point (-2, 6).

Answer 1

ok so first you need to find the slope of the new line

Answer 2

wich would be....

Answer 3

-1

Answer 4

then you should find the point -2,6 on a graph and count right one unit then down one unit until you hit the y axis, then you have the y intercept

Answer 5

to find the perpendicular of a line, take the slope's opposite and flip its fraction. The slope here is 1, take the opposite (-1) and flip it (still -1)

our new line is y=-x+b

plug in the points (-2,6) ---(x,y) in the above line

6= -(-2)+b to get the y intercept
y int= 4

final answer is
y=-x+4

Answer 6

ps. the "flip" of the fraction is called its reciprocal

Answer 7

a. y= 1/4 x - 4
b. y= 1/4x + 6
c. y= -4x - 2
d. y= -4x + 1/4