Question

What is the equation of a line that passes through the point (-2, -7) and is parallel to the line given by y = − 2? a) y = - 7 b) y = - 2 c) y = - 5 d) x = - 2

Answer 1

The equation of the line parallel to y = -2 and passing through (-2, -7) is y = -7, as it must be horizontal and share the same y-coordinate of the point given.

Step-by-step explanation:

The equation of a line parallel to the line represented by y = -2 must have the same slope. Since the line given by y = -2 is a horizontal line with a slope of 0, any line parallel to it will also be horizontal and have no slope.

Therefore, the equation of the line we are looking for will also be a horizontal line and pass through the given point (-2, -7).

The equation of a horizontal line is given by y = constant, where the constant is the y-coordinate of any point on the line. Since we know our line passes through (-2, -7), the y-coordinate of any point on our line must be -7. Therefore, the equation of the line is y = -7.