Write an equation ​(a) in​ slope-intercept form and ​(b) in standard form for the line passing through ​(−3,6) and parallel to x+2y=5

Answer 1

x+2y=5

2y=-x+5

y = (-1/2)x = 5/2

slope is the coefficient of the x term = -1/2

use the point slope formula with point (h,k) = (-3,6) m= -1/2

y-k= m(x-h)

y-6 = (-1/2)(x+3)

multiply by 2

2y-12 = -x-3

x+2y = 9