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

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.
 

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