Question

Find the equation of the line parallel to the line graphed (0,2) and (4,4) that passes through the point (1,1).

A) y = 2x + 1/2
B) y = -2x + 1/2
C) y = (1/2)x + 1
D) y = (1/2)x + 1/2

Answer 1

To find the equation of the line parallel to the line passing through the points (0,2) and (4,4) that passes through the point (1,1), we can use the fact that parallel lines have the same slope.

Step-by-step explanation:

To find the equation of the line parallel to the line passing through the points (0,2) and (4,4) that passes through the point (1,1), we can use the fact that parallel lines have the same slope.

First, let's find the slope m of the line passing through (0,2) and (4,4). We can use the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values: m = (4 - 2) / (4 - 0) = 2 / 4 = 1/2.

Since the line we are looking for is parallel, it will also have a slope of 1/2. Using the point-slope formula y - y1 = m(x - x1), we have y - 1 = 1/2(x - 1). Simplifying this equation, we get y = 1/2x + 1/2.