Question

Write the equation of the line parallel to the given line and passing through the given point.

6x + y = 4 through (-2, 3)

Answer 1

y = -6x - 9

Explanation:

Given 6x + y = 4, we borrow the form 6x + y = C to obtain a new line parallel to the given line. Subst. -2 for x and 3 for y to find C: 6(-2) + 3 = C, or C = -9.

Thus, the desired equation is 6x + y = -9, or y = -6x - 9.

Check: Does this line pass thru (-2,3)? Is 3 = -6(-2) - 9 true? Yes, it is.