Question

Write the equation of a line in slope-intercept form that is parallel to the line y equals 7 over 8 x minus 7 and containing point (8, 0).

Answer 1

Answer:

y = (7/8)x + 7

Step-by-step explanation:

"7 over 8 x" is incorrect; you meant "(7/8)x" (which is not the same as "7 over 8 x."  Thus, your line is y = (7/8)x - 7.  The slope of a parallel line is the same, or (7/8).  Given that the line passes thru (8,0), we have enuf info with which to calculate the y-intercept.  Write out:  y = mx + b.  Immediately replace m with (7/8), y with 0 and x with 8, obtaining:  0 = (7/8)(8) + b.  Then b = 7, and the equation of this new, parallel, line is y = (7/8)x + 7.