14 The straight line, L, has the equation y = 5 - 2x Write down
(a) the co-ordinates of the point where the line crosses the y-axis,
Answer(a) (..
.) [1]
(b) the gradient of the line,
Answer(b)
[1]
(c) the equation of a line parallel to L.
Give your answer in the form y= mx + c.
Answer(c) y =
[1]

Step-by-step explanation:

(a) the co-ordinates of the point where the line crosses the y-axis,

y intercept occurs when x = 0

y = 5 - 2(0)

y = 5

(0, 5)

(b) the gradient of the line,

the general line formula is y = mx + b, where m is the slope and b is the y intercept.

y = 5 - 2x

y = -2x + 5

m = -2

(c) the equation of a line parallel to L.

Parallel lines have the same slope, but different y intercepts.

The simplest parallel line formula is

y = -2x + 0

y = -2x