# Lines and Slopes Math

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A line is perpendicular to x+3y-4=0 and has the same y-intercept as 2x+5y-20=0. Find an equation for the line

• Lines and Slopes Math -

Here are two hints:
(1) The first equation tells you that the slope of the line you are looking for is m = 3. That is because the line you want to be perpendicular to has a slope of -1/3.
(2) The y-intercept of the line you want is b = 20/5 = 4. The point is located at (0,4)

y = mx + b

Substitute in the m and b values from above.

• Lines and Slopes Math -

y=-1/3x+4

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