Write an equation for a line parallel to y = 4 x − 4 and passing through the point (3,11)

Answer 1

Hi Michelle,

Parallel lines have the same slope. In the slope-intercept form, y = mx + b, the variable m represents the slope and the variable b represents the y-intercept.

For the equation, y = 4 x - 4, the slope is 4. Therefore, the slope of any parallel line will also be 4.

Next, substitute the x and y coordinates for the point provided (3,11) to determine the y-intercept of the new line:

y = mx + b

y = 4x + b

11 = 4 •3 + b

11 = 12 + b

11-12 = 12 + b -12

-1 = b

The equation of the new line will be:

y = 4x - 1

Let me know if you have other questions or need any lessons Michelle. Would be happy to help!