Question

What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?

a.x = −6
b. x = −4
c.y = −6
d.y = −4

Answer 1

The equation of the line that is parallel to the given line and passes through the point (-4,-6) is y = mx + b.

Step-by-step explanation:

The equation of the line that is parallel to the given line and passes through the point (-4,-6) can be found using the point-slope form of a linear equation. The given line is in the form y = mx + b, where m is the slope.

Since the line we are looking for is parallel to the given line, it will have the same slope. Therefore, the equation of the line is y = mx + b, where m is the slope of the given line and (-4,-6) are the coordinates of the point it passes through.

So, the equation of the line that is parallel to the given line and passes through the point (-4,-6) is y = mx + b.