Answer:
a) y = -0.5(x - 2)
b. y = 2(x - 2).
Step-by-step explanation:
Consider the given line:
x + 2y = 3
2y = -x + 3
y = -0.5x + 1.5
So the slope of this line is -0.5.
(a) Parallel to the given line: we need an equation with slope = -0.5 and passing through the point (2,0).
Point-slope form is y - y1 = m(x - x1) so we have:
y - 0 = -0.5(x - 2)
y = -0.5(x - 2) (answer).
(b) The line perpendicular to the given line will have a slope of -1 / -0.5 = 2.
So our equation is
y - 0 = 2(x - 2)
y = 2(x - 2) (answer).
