Question

The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains point (4, 5).

Answer 1

Given the equation of line AB is y = 5x+1
the slope m = 1
line of equation (y-y1) = m (x-x1)
substitute the value of x and y coordinate in the equation.
(y-5) = 1 (x-4)
y-5 = x-4
y-1 = x
y = x+1
The equation of a line parallel to line AB is y = x+1.

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