Question

Write the equation of a line parallel to the line x + 2y = 4 and passing through the point (3, 4) in slope-intercept form.

Answer 1

Answer: y = x + 1

Explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the line.

The equation of the given line is

x + 2y = 4

Comparing with the slope intercept form, slope = 1

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (3, 4) is 1

To determine the intercept, we would substitute m = 1, x = 3 and

y = 4 into y = mx + c. It becomes

4 = 3 × 1 + c

4 = 3 + c

c = 4 - 3 = 1

The equation becomes

y = x + 1