The equation of line / is y=3x/a +5, where a is a positive constant. If the value of a in this equation is doubled, then the res

Question

2 years ago

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ulting equation will represent a line whose slope is how many times the slope of line / ?

1 answer:

Anettt [7] · Answer 1 · 2023-08-21T18:03:06+03:00

The resulting equation will represent a line whose slope is 1/2 times the slope of the line

<h3>How to determine the slope of the new line?</h3>

The equation of the line is given as:

y = 3x/a + 5

The constant a is a positive constant.

So, when the value of a in the equation is doubled, we have:

y = 3x/2a + 5

A linear equation is represented as

y = mx + b

Where m represents the slope.

So, we have:

m1 = 3/a

m2 = 3/2a

Substitute m1 = 3/a in m2 = 3/2a

m2 = 1/2 * m1

Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line