Question

A line passes through the point (-3, 6) and is parallel to the line with the equation y = -4x + 5. What's the equation of the line?

A) y = -4x - 6
B) y = 4x + 18
C) y = 1/44 - 3
D) y = -4x + 6

Answer 1

To find the equation of a line parallel to another line, we use the fact that parallel lines have the same slope. We can use the point-slope form of a line to find the equation, substituting the given coordinates and slope.

Step-by-step explanation:

To find the equation of a line parallel to another line, we need to use the fact that parallel lines have the same slope. The given line has the form y = -4x + 5, so its slope is -4. Since the parallel line also has a slope of -4, we can use the point-slope form of a line to find its equation. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Substituting the coordinates (-3, 6) and the slope -4 into the equation gives us y - 6 = -4(x - (-3)). Solving for y will give us the equation of the line: y - 6 = -4(x + 3).