Question

Write the equation of a line through ( 3, 1), parallel to y = 2/3x + 1.

Answer 1

answer: y= 2/3x - 1

to be parallel, you need the same slope but to pass through the point ( 3, 1), you would need a different y- intercept.

Answer 2

y = 2/3 x - 1

Explanation:

Parallel slopes are equal.

y = mx + b

m = 2/3

x = 3 Use the x and y given in the point (3,1)

y = 1

Solve for b the y-intercept

y = mx + b

1 = 2/3(3) + b

1 = 2 + b Subtract 2 from both sides

-1 = b

y= mx +b

y = 2/3x -1