Question

1.A line is parallel to the line 5x+y+4=0 Work out it's gradient (The answer is a whole number or decimal.)

2.Another line is parallel to the line 3x+5y=15 Work out it's gradient. (The answer is a fraction)

5 points for each answer

Answer 1

If we arrange the equation of a line in standard form,
we can read its slope (gradient) directly.

1). 5x + y + 4 = 0

Subtract 4 from each side: 5x + y = -4

Subtract 5x from each side: y = -5x - 4

The slope (gradient) of the line is -5 .

2). Parallel lines have the same slope (gradient).
First, find the slope (gradient) of the given line.

3x + 5y = 15

Subtract 3x from each side: 5y = -3 x + 15

Divide each side by 5 : y = -3/5 x + 15

The slope (gradient) of the given line is -3/5 .
Any line with a slope (gradient) of -3/5 is parallel to this one.

Its equation will be y = -3/5 x + any number.