Question

Which equation represents the line that passes through the points (6,3) and is parallel to y=1/2x+8

Answer 1

Answer:

y = $\frac{1}{2}$ x

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = $\frac{1}{2}$ x + 8 ← is in slope- intercept form

with slope m = $\frac{1}{2}$, thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (6, 3) into the partial equation

3 = 3 + c ⇒ c = 3 - 3 = 0

y = $\frac{1}{2}$ x ← equation of parallel line