Question

What is the equation of the line that is parallel to the given line and passes through the point (-3, 2)?

A) 3x−4y=−17
B) 3x−4y=−20
C) 4x+3y=−2
D) 4x+3y=−6

Answer 1

The equation of the line parallel to the given line and passing through the point (-3, 2) is 3x−4y = −17. Hence the correct answer is option A

Step-by-step explanation:

To find the equation of a line that is parallel to a given line, we need to determine the slope of the given line and the coordinates of a point that the new line passes through. In this case, the given line is not provided. However, we are given a list of answer choices. We can plug in the coordinates of the given point (-3, 2) into each equation and see which one satisfies the equation.

If we substitute the values of x = -3 and y = 2 into each equation, we find that only option A) 3x−4y=−17 gives a true statement. Therefore, the equation of the line parallel to the given line and passing through the point (-3, 2) is 3x−4y = −17.

Hence the correct answer is option A