Write an equation in slope-intercept form for the line that satisfies each set of conditions, That Passes through (5, -2), parallel to the graph of x+2y=8

3 answers

2 y = -x + 8
y = -(1/2) x + 4
so slope = -1/2

-2 = -(1/2) 5 + b
-2 = -2.5 + b
b = .5 = 1/2
so
y = -(1/2) x + 1/2

2 y + x = 1
sorry, slope intercept form is
y = -(1/2) x + 1/2
the new equation will differ from the old equation only in the constant
so new: x+2y = c , but (5,-2) is on it, so
5-4 = c = 1

x + 2y = 1