Question

Write an equation for a line parallel to y= 1/2x +4 that goes through the point (3, 5)

A) y-3 = -2(x-5)

B) y-5 = -2(x-3)

C) y-3 = 1/2(x-5)

D) y-5 = 1/2(x-3)

Answer 1

D

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(1)/(2)` x + 4 ← is in slope- intercept form

with slope m =
`(1)/(2)`

Parallel lines have equal slopes

The equation ofa line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here (a, b) = (3, 5), thus

y - 5 =
`(1)/(2)`(x - 3) → D