Question

Which equation represents a line which is parallel to the line 8x - 7y = 35?

a. y=8/7 x + 8
b. y=8/7 x - 6
c. y=-7/8 x + 5
d. 7/8 x + 2

Answer 1

The equation that represents a line parallel to the line 8x - 7y = 35 is y = 8/7 x - 6 because it has the same slope of 8/7.

Step-by-step explanation:

To determine which equation represents a line parallel to the line 8x - 7y = 35, we must first write this equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. For the equation 8x - 7y = 35, after rearranging and solving for y we get y = 8/7 x - 5. The slope of this line is 8/7.

Parallel lines have identical slopes, so we are looking for an equation with the same slope of 8/7. Among the options given, the only equation with a slope of 8/7 is option b. y = 8/7 x - 6.