Question

Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4).

A) y = 2x + 4
B) y = 2x - 8
C) y = -2x + 16
D) y = -12x + 7

Answer 1

The equation of the line parallel to 2x + 4y = 6 and passing through the point (6, 4) is y = -0.5x + 7.

Step-by-step explanation:

To find an equation of a line parallel to a given line, we need to find a line with the same slope.

First, we need to rewrite the original equation 2x + 4y = 6 in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

By rearranging the equation, we get y = -0.5x + 1.5.

Since the new line is parallel to the original line, it will have the same slope.

Therefore, the equation of the line parallel to 2x + 4y = 6 and passing through the point (6, 4) is y = -0.5x + 7.

Answer 2

The answer is D my friends. Good luck.

Step-by-step explanation: