Choose the equation of the line passing through the point (-4, -2) and parallel to y = 1/4x + 2

y = 4x - 1

y = 4x - 3

y = 1/4x - 3

y = 1/4x - 1

Question

Choose the equation of the line passing through the point (-4, -2) and parallel to y = 1/4x + 2

 y = 4x - 1

y = 4x - 3

y = 1/4x - 3

y = 1/4x - 1

jim_thompson5910 · Answer

the slope of y = 1/4x + 2 is 1/4

jim_thompson5910 · Answer

any line parallel to y = 1/4x + 2 will also have a slope of 1/4 since parallel lines have equal slopes

jim_thompson5910 · Answer

so we know that m = 1/4

the point (-4, -2) means that x = -4 and y = -2

plug this all into y = mx+b, then solve for b


y = mx+b

-2 = (1/4)(-4)+b

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...
...

b = ???

anonymous · Answer

b=-1 is that correct??

jim_thompson5910 · Answer

good

jim_thompson5910 · Answer

m = 1/4, b = -1

y = mx + b

y = (1/4)x + (-1)

y = 1/4x - 1

anonymous · Answer

THANK YOU!!!!!! You helped me a lot!!

jim_thompson5910 · Answer

you're welcome, I'm glad I did