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Which iS an equation of the line with a slope of 1/4 and a y-intercept of -2?

A. X+4y= -8
B. 4x-y= 2
C. X-4y= 8
D. 4x+y= -2

1 Answer

9 votes

Answer: C

Explanation:

Convert all equations into slope-intercept form, the equation must have a slope of 1/4 and a y-intercept of -2

A) x + 4y = -8

4 ÷ (4y = - x - 8) ÷ 4

y = -1/4x - 2 --> Not the correct equation because slope is negative

B) 4x - y = 2

-1 ÷ (- y = 2 - 4x) ÷ -1

y = 4x - 2 --> Not the correct equation as the slope is not a fraction

C) x - 4y = 8

-4y = 8 - x

-4 ÷ (x - 4y = 8) ÷ -4

y = 1/4x - 2 --> Therefore, C is the correct equation

User Shuchi Sethi
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