In Exercise, find an equation for the line satisfying the given conditions, write the answ...

In Exercise, find an equation for the line satisfying the given conditions, write the answer in the form Ax + By + C = 0.

Is tangent to the circle (x − 3)2 + (y + 4)2 = 25 at the point (0, 0)

Hint: In Exercises 1 and 2 you might try the intercept form of the equation for a line: , where a and where a and b are the x and y intercepts. See Exercise 3.

Exercise 1

Passes through (2, 4); the y-intercept is twice the x-intercept

Exercise 2

Passes through (2, −1); the sum of the x- and y-intercepts is 2. (There are two answers.)

Exercise 3

In each of parts (a) through (d), first solve the equation for y so that you can enter it in your graphing utility. Then use the graphing utility to graph the equation in an appropriate viewing rectangle. In each case, the graph is a line. Given that the x- and y-intercepts are (in every case here) integers, read their values off the screen and write them down for easy reference when you get to part (e).

(a)

(b)

(c)

(d)

(e) On the basis of your results in parts (a) through (d), describe, in general, the graph of the equation , where a and b are nonzero constants.