Question

1

Write an equation for the line parallel to the given line that contains C.
C(2,7); y=-3x+5
The equation of the parallel line is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)

Answer 1

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 -3.

Equation of line is y = -3x + c.

Substitute C(2,7) into the equation to find c.

7 = -3(2) + c

c = 13

Hence, equation of line is y = -3x + 13.