Question

7. Write an equation of the line passing through point P(4, -3) that is parallel to y = -2x + 9.

Answer 1

Explanation:

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient so gradient of line is -2.

Eqn of line: y = -2x + c

Since line passes through P(4,-3), subt the coordinates into the equation to find c.

-3 = -2(4) + c

c = 5

Hence, equation of line is y = -2x + 5.