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 poi

Question

inn [45]

2 years ago

6

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 poi

nt (8, 0).

Mathematics

1 answer:

STALIN [3.7K] · Answer 1 · 2022-08-29T09:06:16+03:00

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.