Question

choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6. O y = −6x − 15 O y = −6x − 20 O y = −6x +15 O y = −6x + 20

Answer 1

The correct equation representing the line passing through the point (-2, -3) with a slope of -6 is y = -6x - 15.

Step-by-step explanation:

To find the equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we can use the given point (-2, -3) and slope -6.

First, substitute the values of the point into the equation:

-3 = -6(-2) + b

Simplify the equation:

-3 = 12 + b

Now, solve for b:

b = -3 - 12

b = -15

Now that we have the slope (m = -6) and the y-intercept (b = -15), we can construct the equation:

y = -6x - 15

Therefore, the correct equation for the line passing through the point (-2, -3) with a slope of -6 is y = -6x - 15.