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1 vote
A line with a slope of 1/4 passes through the points (9, -8) and (5, d). what is the value for?

User Viktortnk
by
8.4k points

2 Answers

3 votes
d + 8 = 1/4(x-9)
d + 8 = 1/4x - 9/4
- 8 - 8
------------------------------
d = 1/4x - 17

I just realized that this is not the answer you are looking for. It's an equation, not a value. Sorry about that.



User Serafim Suhenky
by
7.6k points
4 votes
Answer:
d = -9

Step-by-step explanation:
The slope of the line can be calculated using the following formula:
slope =
(y2-y1)/(x2-x1)

We are given:
slope =
(1)/(4)
point (9,-8) representing (x1,y1)
point (5,d) representing (x2,y2)

Substitute with the givens in the above equation and solve for d as follows:
slope =
(1)/(4)

(1)/(4) =
(d-(-8))/(5-9)

(1)/(4) =
(d+8)/(-4)
4(d+8) = -4
d + 8 = -1
d = -1 - 8
d = -9

Hope this helps :)



User KyleK
by
7.5k points

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