What is the equation of line parallel to y = -7/6x + 10 (0,4)

Question

What is the equation of line parallel to y = -7/6x + 10 if the coordinates are (0,4)?

Answer 1

Hi Daniella;

y = (-7/6)x + 10...(0,4)

The equation is in the format of...

y=mx+b

m is the slope.

b is the y-intercept, the value of y when x=0.

The line parallel to this has the same slope, different y-intercept.

y = (-7/6)x + b

The one point provided is the y-intercept.

y = (-7/6)x + 4

Answer 2

Hello, thank you for taking the time to post your question!

Parallel means that the lines have the same slope, so m = -7/6. Then the y-intercept is given to us directly on this one … b = 4. Putting it all together in slope-intercept form then yields

y = -7/6x + 4    for the equation of the line

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)