What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?

y=-2x-3

Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b.  Therefore:

Therefore, our slope is 1/2 and our y-intercept is 2.  Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning (negative reciprocal).  Now we must use the point slope formula:

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.

is there any photos or whatever?

(x) - (y) = (1 + 4i)