Question

What is the equation in standard form of the line which passes through (–2, –3) and has a slope of one-half?

Answer 1

\[\left( y - y1 \right) = m \times \left( x - x1 \right)\]

Answer 2

y = mx + b
-3 = .5(-2) + b

Solve for b

Answer 3

y - y1 = m(x - x1)
y - - 3 = 1/2(x - - 2)
y + 3 = 1/2x + 1
y = 1/2x + 1 - 3
y = 1/2x - 2.
Now change it into standard form
2y = x - 4
x - 2y = 4