Question

Help Please
Two ordered pairs on the hill are given as (6, 3) and (8, 7).

Answer 1

@jazy

Answer 2

Part 1)\[m = \frac{ y2 - y1 }{ x2 - x1 }\]\[m = \frac{ 7 - 3 }{ 8 - 6 } =\frac{ 4 }{ 2 } = 2\]Slope = 2

Answer 3

Part 2)
You have a point (6, 3) and you have the slope (2).
Point-Slope formula:
y - y1 = m(x - x1)
y - 3 = 2(x - 6)

Answer 4

Change from Point-Slope to Slope-intercept.
y = mx + b
Remember m is slope and b is y-intercept.
y - 3 = 2(x - 6)
y = 2x - 9

Part 3)
Parallel lines have the same slope but different y-intercepts. So you keep the y = 2x part and add whatever number you want.

Answer 5

Part 4)
Perpendicular lines' slope is the opposite reciprocal. So instead of 2, you're slope would be -1/2. This time the equation would be y = -1/2x

Answer 6

Hope this helped! (:

Answer 7

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