Write an equation of The line that passes through the given point and is parallel to the given line (4;5);y=-3/2x+3

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

9514 1404 393

Answer:

y = -3/2x +11

Step-by-step explanation:

The slope of the parallel line is the same as the slope of the given line, so ...

m = -3/2

The y-intercept of the parallel line can be found from ...

b = y -mx

b = 5 -(-3/2)(4) = 11

So, the desired equation is ...

y = mx +b

y = -3/2x + 11

_____

<em>Additional comment</em>

Since you know the slope and a point on the desired line, you can write down the equation directly using the point-slope form. No additional math is required.

y -5 = -3/2(x -4)

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