Question

Choose the equation of the line passing through the point (-2, 6) and parallel to y = 1/2x - 8.

y =1/2x + 7

y = 1/2x + 5

y = 2x + 7

y = 2x + 5

Answer 1

Parallel lines have the gradient. so Once its parallel to y = 1/2x - 8 then the gradient(m) = 1/2
Therefore using the formula for finding an equation of a line,
y - y1 = m(x - x1), where x1 = -2 and y1 = 6
y -6 = (1/2)(x -(-2))
y -6 = (1/2)(x +2)
y - 6 = 1/2 x +1
y = 1/2x +1 +6
Hence, y = 1/2x + 7
So answer is A.