line that passes through (1, 5) and is parallel to the line y=−4x+2.

Question

line that passes through (1, 5) and is parallel to the line y=−4x+2.

Answer 1

Hi Matthew. Since the line in question is parallel to a line having slope minus 4, you can use the point-slope form to determine the line: y - y1 = -4 * (x - x1). Substituting the point (1,5), we get: y - 5 = -4*(x - 1) = -4x + 4.

Thus, y = -4x + 4 + 5 = -4x + 9. Note that when x = 1, y = -4*1 + 9 = 5 which checks.

Answer 2