The pair of points (g, -1) and (2, 5) lie on a line with a slope of 32

Question

. What is the value of g?
Responses

3
3

4
4

-5
-5

-2

Answer 1

-2

Answer 2

check
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y = m x + b
if x = -2
-1 = 32 (-2) + b
b = 63
so
y = 32 x + 63
if x = 2
y = 64 - 3 = 61
whoops, not 5

Answer 3

Sorry about that mistake. Let's double-check our calculations.

Using the two points (g, -1) and (2, 5), we can find the slope of the line:

slope = (5 - (-1)) / (2 - g) = 6 / (2 - g)

We are given that the slope is 32. Solving for g:

32 = 6 / (2 - g)

32(2 - g) = 6

64 - 32g = 6

32g = 58

g = 29/16

So the value of g is 29/16.

Answer 4

Looks better :)

Answer 5

Glad to hear it! Thank you for checking.

Answer 6

:)

Answer 7

Is there anything else I can help you with?

Answer 8

Nah, going rowing in the morning ---> bed time

Answer 9

Sounds like fun! Have a good night's sleep and enjoy your rowing in the morning. Goodbye!