Which is the equation of a line that has a slope of negative two-thirds and passes through point
(–3, –1)?

The equation of a line is .

Solution:

Given slope, m = and passes through the point (–3, –1).

Equation of a line passes through one point and slope formula:

Here, and

Substitute these in the given formula, we get

⇒

⇒

Cross multiply the fraction.

⇒

⇒

Subtract 3 on both sides of the equation.

⇒

⇒

Divide by 3 on both sides of the equation.

⇒

Hence, the equation of a line is .

D) y = -2/3x - 3

Step-by-step explanation:

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