Find the equation of a line that passes through the point (-2,-1) and is perpendicular to the line with equation y = –2x+8.

y=x/2

Step-by-step explanation:

If one line is perpendicular to another, then the product of their slope is -1.

y = –2x+8. This line has a slope of -2. Which means another line must have a slope of 1/2.

By knowing the slope, we then assume this line as x-2y=k. Insert the point in, we find out k=0.

So the equation of this line is x-2y=0, or y=x/2.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

"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.