Write the equation of a line that is parallel to y=-5x+1 and passes through point (0,3)

Try this solution:

1. Rule: if the equation of a line is 'y=kx+b', then line_1 will be parallel to line_2, when k_1=k_2.

2. According to the rule above the parameter 'k' of required line is (-5); the required equation is y=-5+b.

3. In order to calculate the parameter 'b', it need to substitute the coordinates (0;3) into the required equation, described in item 2 (y= -5x+b):

3= -5*0+b, then b=3.

4. If k= -5, b=3, then y= -5x+3

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step-by-step explanation: