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

For as far as I know -6=a-4+b

Step-by-step explanation:

The (-4,-6) are coordinates like (X,Y) now the formula your using is y= ax+b. So the only thing you have to do is fill X and y in from the coordinates into the formula.

y=-6

Step-by-step explanation:

The line shown is a horizontal line through the y-axis and has the equation y=4. A parallel line to it is a line that does not cross it. It will also have the form y=a where a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.