Question

(a) Straight line passes through the point (-2,8) and is parallel to the line x+2y=4

Slope Intercept Equation is:

(b) Straight line passes through the point (-1,9) and is perpendicular to the line 5x+y=4

Slope Intercept Equation is:

(c) Determine the center and the radius of the circle x^2+y^2-2x+5y+5=0

The Center = ___ Radius = ___

Answer 1

recall that the line with slope m through (h,k) is

y-k = m(x-h)

which you can rearrange into slope-intercept form.

For the circle, try rewriting that as

x^2-2x + y^2+5y = -5

Now complete the squares

x^2-2x+1 + y^2+5y+25/4 = -5 + 1 + 25/4
(x-1)^2 + (y+5/2)^2 = 9/4