Question

У = 3х - 2; (3, 2)

Write an equation for the line that passes through the given point and is parallel to the graph of the given equation.

Answer 1

The equation of the line is y = 3x - 7

Explanation:

Parallel lines have the same gradient: the equation of the line would have a gradient of 3 (the gradient is the number in front of x).

y = 3x + c

If the line goes through the point (3, 2) then (3, 2) would satisfy the equation of the line. This means we can substitute 3 for x and 2 for y:

2 = 3(3) + c

2 = 9 + c

c = 2 - 9

c = -7

The equation of the line is y = 3x - 7

Hope this helps!