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astraxan [27]
3 years ago
12

A line that is perpendicular to y=-2/7x+9y and that passes through the point (4, -6)

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
--------------------------------------------------
Find Slope :
--------------------------------------------------
y = -2/7x + 9
Slope = -2/7
Perpendicular slope= 7/2

--------------------------------------------------
Find y - intercept :
--------------------------------------------------
y = mx + b
y = 7/2 x + b
At (4, -6)
-6 = 7/2 (4) + b
-6 = 14 + b
b = -6 - 14
b = -20

--------------------------------------------------
Form equation :
--------------------------------------------------
y = mx + b
y = 7/2 x - 20
2y = 7x - 40

--------------------------------------------------
Answer: 2y = 7x - 40
--------------------------------------------------

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