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oksano4ka [1.4K]
1 year ago
8

Write the equation of the line parallel to Y equals 2/3X +1 through the point (0,-4)  use slope intercept form

Mathematics
1 answer:
Andrew [12]1 year ago
7 0

Writing the slope-intercept form of a linear equation, we have:

y=mx+b

Where m is the slope and b is the y-intercept.

Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

\begin{gathered} y=\frac{2}{3}x+b \\ (0,-4)\colon \\ -4=\frac{2}{3}\cdot0+b \\ b+0=-4 \\ b=-4 \end{gathered}

So our equation is:

y=\frac{2}{3}x-4

y = 2/3x - 4

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