Question

: Choose the equation below that represents the line that passes through the point (7, -2) and has a slope of -3.

Option 1: y = -3x + 25
Option 2: y = 3x - 23
Option 3: y = -3x - 23
Option 4: y = 3x + 25

Answer 1

Final answer:

The equation representing the line passing through the point (7, -2) with a slope of -3 is y = -3x - 2.

Step-by-step explanation:

The equation that represents the line passing through the point (7, -2) with a slope of -3 is:

y = mx + b

where m is the slope and b is the y-intercept. Plugging in the values, we get:

y = -3x + (y-coordinate of the point) = -3x + (-2) = -3x - 2

Therefore, the equation representing the line is y = -3x - 2.