Question

What is the equation of a line that contains the point (2, -5) and is parallel to the line: y = 3x - 4?

A. y = 3.8x - 11
B. y = -x - 3
C. y = 3x - 4
D. y = -x - 4

Answer 1

To find the equation of a line parallel to a given line, identify the slope of the given line and use the point-slope form of a linear equation.

Step-by-step explanation:

To find the equation of a line that is parallel to the given line, we need to identify the slope of the given line and use the point-slope form of a linear equation.

The given line has a slope of 3 (since the coefficient of x is 3). Therefore, the parallel line will also have a slope of 3.

Using the point-slope form, we have: y - y1 = m(x - x1), where (x1, y1) is the given point. Substituting the values, we get y - (-5) = 3(x - 2), which simplifies to y = 3x - 11.