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Write an equation in slope-intercept form for the line described.

1. Perpendicular to y = - 4 x + 1, pass through ( - 8 , - 1 )

2. Parallel to y = 2/ x + 6, y-intercept at -2

3. Parallel to y = 9 x + 3. passes through ( 6, 7)

1 Answer

5 votes

Answer:


y = (x)/(4) - 3


y = 2x - 2


y = 9x - 57

Explanation:

If 2 lines are perpendicular the slopes multiplication is - 1.

If 2 lines are parallels the slopes are the same

1. slope : - 4 then

-4 * x = - 1

x = 1/4

now for the y-intercept you replace the point in the line (8,-1)

y = 1/4 x + b

-1 = 1/4 * 8 + b

-3 = b

with y-intercept the equation is:


y = (x)/(4) - 3

2. y = 2/x +6 isnt a line so I assume is y = 2*x +6

In this case the line you are looking for has the same slope and y - intercept is already given


y = 2x - 2

3. Again same slope, because the lines are parallels and you have to replace (6,7) to get the y-intercept

y = 9x + b

6 = 9*7 + b

b = - 57


y = 9x - 57

User Balualways
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