Y = 5x + 1...the slope here is 5...a parallel line will have the same slope.
y = mx + b slope(m) = 5 (4,5)...x = 4 and y = 5 now we sub and solve for b, the y int 5 = 5(4) + b 5 = 20 + b 5 - 20 = b -15 = b so ur parallel equation is : y = 5x - 15
The equation of the line y = 5x + 1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4) y = 5x - 20 + 5 y = 5x -15
Therefore, the correct answer is the first option.