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Write an equation in slope intercept-form for the line that passes through (0,5) and is parallel to the line whose equation is 4x-y=3

Sagot :

Spectrojamzidn

Answer:

Passes through point (0,5)

And is parallel to the line 4x – y = 3.

These are the key points to note.

For Parallelism

m₁ = m₂

where m =slope/gradient.

4x – y = 3

y = 4x – 3.

Comparing with

y= mx + c

m₁=4.

Since they're parallel...

m₁ = m₂

m₂= 4.

y – y₁ = m₂(x – x₁)

x₁ = 0. y₁ = 5

y – 5 = 4(x – 0)

y – 5 = 4x

y = 4x + 5.

This is the required equation in Slope Intercept Form.

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