Write the standard form of the equation of the line described. Through: (1,5), parallel to y=x+5y=x+5

Answer 1

Hello, Paris,

A parallel line has the same slope as the original line. If y = mx + b, then a parallel line will has have slope m. b will change depending on what point the line passes through, in this case (1.5). We can find "b" by entering this point in the new equation and solving for b.

y = x + 5

A parallel line would be y_p = x + b

Enter the point (1,5) to get 5 = 1 + b, or b = 4.

Therefore, y_p = x + 4

I hope this helps,

Bob