Write the equation of a line that is parallel to y=1/2x-4 and that passes through the point (9 -6)

Equation of a line that is parallel to y=1/2x-4 and that passes through the point (9 -6) is 2y - x  + 21 =0

Step-by-step explanation:

Equation of line 1 is y=1/2x-4

Comparing it with form : y = m x + C, we get m =  1/2

So, the slope of line 1 = 1/2

Now, line 2 is parallel to line 1.

Slope of line 2 = slope of Line 1

⇒ Slope of line 2 = 1/2

The point (x0,y0) on the line 2  =  (9,-6)

Now, by POINT SLOPE FORMULA:

The equation of a line with point (x0,y0) and slope m is given as

(y-y0)= m (x -x0)

So, here the equation of line 2 is:

Hence, the equation of a line that is parallel to y=1/2x-4 and that passes through the point (9 -6) is 2y - x  + 21 =0.

"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.