What is the equation? will give brainliest!

Step-by-step explanation:

Start by finding the slope of the line between those 2 points.  The slope formula is the difference between the y-terms over the difference between the x terms.  Ours looks like this:

Now that you know the slope, you can plug it into either the point-slope formula or the slope-intercept formula using one of the given points and get your equation that way.  I used point-slope, but either way you'll get the same equation.

y - 1 = -4(x - 4) and

y - 1 = -4x + 16 so

y = -4x + 17

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)