Which is the equation of a line that is parallel to 2x + 5y = 4 and goes through the point (5, –4) ? a. y=-2/5x-6 b. y=-2/5x+2 c. y=2/5x-6 d. y=-2/5x-2

we know that

if two lines are parallel

then

their slopes are equal

Step 1

Find the slope of the line 2x + 5y = 4

2x + 5y = 4> 5y=4-2x> y=(4/5)-(2/5)x> slope m=(-2/5)

step 2

with m=-2/5 and the point (5, –4) find the equation of the line

y-y1=m*(x-x1)> y+4=(-2/5)*(x-5)> y=(-2/5)x+2-4

y=(-2/5)x-2

therefore

the answer is the option D

the correct answer is 5

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