Question

Select the equations that are parallel and perpendicular to y = one over fourx + 7 and that pass through the point (−8, 9).

Answer 1

y = 1/4x + 7

can you tell me the slope of this equation ?

Answer 2

In y = mx + b form, the slope is in the m position. So what is the slope of y = 1/4x + 7 ?

Answer 3

let me know when you are ready to participate

Answer 4

One quarter

Answer 5

correct. The slope is 1/4. A parallel line will have the same slope.
Now we will use y = mx + b
(-8,9) x = -8 and y = 9
slope(m) = 1/4
now we sub and solve for b
9 = 1/4(-8) + b
9 = -2 + b
9 + 2 = b
11 = b
therefore, our parallel line is : y = 1/4x + 11

perpendicular lines have negative reciprocal slopes. All that means is " flip " the slope and change the sign. So the negative reciprocal of the slope given, 1/4, is -4/1, or just -4.
now we use y = mx + b and solve for b
(-8,9) x = -8 and y = 9
slope(m) = -4
9 = -4(-8) + b
9 = 32 + b
9 - 32 = b
- 23 = b
so your perpendicular equation is : y = -4x - 23

any questions ?

Answer 6

Nope, thank you :)

Answer 7

anytime :)