Question

Write an equation of the line that passes through point P(10, –11) and is parallel to the line y = 2/5x + 1.

A. y = (2/5)x - 21
B. y = (2/5)x + 9
C. y = (5/2)x - 21
D. y = (5/2)x + 9

Answer 1

The equation of the line that passes through point P(10, –11) and is parallel to the line y = 2/5x + 1 is y = (2/5)x - 21.

Step-by-step explanation:

To find the equation of a line parallel to the given line, we need to find the slope of the given line. The given line has a slope of 2/5. Since parallel lines have the same slope, the line we are looking for will also have a slope of 2/5.

Using the point-slope form of a linear equation, we can write the equation as y - y1 = m(x - x1). Substitute the values of the slope and the coordinates of point P (10, -11) into the equation.

Therefore, the equation of the line that passes through point P(10, –11) and is parallel to the line y = 2/5x + 1 is y = (2/5)x - 21 (Option A).