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Vlad1618 [11]
3 years ago
7

What is the equation if the line slope is 2/3 and the y-intercept is -3

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
<h2>The required equation of line is 2x - 3y - 9 = 0.</h2>

Step-by-step explanation:

Here, slope(m) = \dfrac{2}{3} and y - intercept(c) = -3

To find, the required equation of line = ?

We know that,

The equation of a line with slope m and y-intercept c is given by

y = mx + c

∴ The required equation of line

y = \dfrac{2}{3}x + (- 3)

⇒ y = \dfrac{2}{3}x - 3

⇒ y + 3 = \dfrac{2}{3}x

⇒ 3(y + 3) = 2x

⇒ 3y + 9 = 2x

⇒ 2x - 3y - 9 = 0

Thus, the required equation of line is 2x - 3y - 9 = 0.

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