write an equation of the line containing the given point and parallel to given line. Express your answer in the form of y=mx+b (5,6) x+8y=7

Question

mertsj · Answer

Solve the equation for y

anonymous · Answer

Since you are looking for a line that is parallel, you are going to use the same slope, so we first need to put the given equation for that line into the slope-intercept form:

x + 8y = 7    ->      8y = 7 - x      ->       y = (-1/8)x  + 7/8

So, "m", which is the slope, is (-1/8)

Next, we can put in values for the x and y and m directly into the equation:

y = mx + b     ->      6 = (-1/8)(5) + b      ->      6 = b - 5/8

b = 6 + 5/8       ->      b = 53/8

So, we have found "b" or the y-intercept, and we have "m", so we have all we need:

y = (-1/8)x + 53/8     is your equation.

anonymous · Answer

All good now @tishagwen ?  Ask any questions you would like.

anonymous · Answer

yeah.. i had a similair problem the other day and lost my internet connection and couldnt remember how to get answer.. but both are understood now!  thanks

anonymous · Answer

Good luck to you in all of your studies and thx for the recognition! @tishagwen 

And you're welcome!