Question

10PTS
pls help me on this math problem and pls explain how you did it.

Answer 1

Explanation:

First, you need to find the slope of the first line by using point slope formula (y2-y1) = m(x2-x1)

0 - 1 = m(0-4)

-1 = -4m

--- ----

- 4 -4

1/4 = m (slope)

Because the first line is perpendicular to the second line, the slope of the second line is the inverse. 1/4 ----> - 4/1

y - 0 = -4(-1-1)

y - 0 = -4(-2)

y = 8

These are the line equations:

y = -4x + 7

y = 1/4x

I think this is right but if anyone sees something wrong or needs more clarification please comment!

Answer 2

y = 8

Explanation:

Line1 with points (4, 1) and (0, 0):

slope = (y₂ - y₁) / (x₂ - x₁)

= (0 - 1) / (0 - 4)

= 1/4

Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.

Line2 with points (1, 0) and (-1, y):

slope = (y₂ - y₁) / (x₂ - x₁)

= (y - 0) / (-1 - 1)

= y / -2

y must equal to 8 for the slope to be -4 as stated above.