Question

Write the slope-intercept form of the equation of the line parallel to the

graph of 2x + y = 5 that passes through (0, 1).

Answer 1

y = -2x + 1

Explanation:

2x + y = 5 ← given line

2x + y = C ← any parallel line

The line passing through (0, 1), therefore:

2×0 + 1 = C

C = 1

2x + y = 1 ← the parallel line that passes through (0, 1)

To change it to slope-intercept form we just need to subtract 2x from both sides:

y = -2x + 1