Question

Write the equation of a line that is parallel to y = 1/2 x + 5

that passes through the point (2,6).

Answer 1

y = 1/2x + 5

Explanation:

Slope-Intercept Form: y = mx + b

When 2 lines are parallel, they have the same slope.

Step 1: Define variables

Random point (2, 6)

m = 1/2

y = 1/2x + b

Step 2: Find b

6 = 1/2(2) + b

6 = 1 + b

5 = b

Step 3: Rewrite parallel linear equation

y = 1/2x + 5