Question

How would I go about this?
Two ordered pairs on the hill are given as (6, 3) and (8, 7).

Part 1: Find the slope of the hill.

Slope (m) = change in y over change in x.




Part 2: Now find the equation using the point slope formula.

Point Slope Formula: y – y1 = m (x – x1)

Part 3: Give an example of an equation for a line parallel to your answer from Part 2.
Part 4: Give an example of an equation for a line perpendicular to your answer from Part 2.

Answer 1

they practically tell you how to do it.

For part 1, slope m is change in y over change in x.
so subtract one y value from the other to get the change in y, and repeat for the x values.
(6, 3) and (8, 7)
y2 - y1 = 7 - 3 = 4
x2 - x1 = 8 - 6 = 2

slope = (y2 - y1) / (x2 - x1)

Answer 2

So it would be 7-3/8-6?

Answer 3

& that would be 2 correct?

Answer 4

that is correct, slope is 2.

You use that slope, m = 2, and either one of those points to work Part 2.

Answer 5

How would I write the second part?

Answer 6

They give you the formula again:
Point Slope Formula: y – y1 = m (x – x1)

So use m = 2 and substitute that in as your m. And pick one of those two points in the problem as (x1, y1)... let's use (6,3) as (x1, y1)

Point Slope Formula: y – y1 = m (x – x1)
y - 3 = 2 (x - 6)

Answer 7

y = 2x - 9?

Answer 8

Give an example written in slope intercept form (y = mx + b) of a line parallel to your solution in Part 2.
So how would I write y = 2x - 9 of a line parallel to this? I know parallel lines always have the same slope..

Answer 9

sorry, I had to step away.

Yes, you're right... a parallel line has same slope, so your example line will have slope 2 also. It just has a different y-intercept. You can pick anything you want, except it needs to be different from the -9 in the Part 2...

y = 2x - 9

y = 2x + 150

y = 2x - 3

these are just a couple examples...

Answer 10

thank you :))