Which of the following is an equation of the line through (2, 3) and (−1, −12)?

A. y = 1/5x + 13/5
B. y = −1/5x + 17/5
C. y = 5x − 7
D. y = −5x + 7

C)  y = 5x - 7

Step-by-step explanation:

slope between two given points is:

3-(-12) over 2-(-1) which is 15/3 or 5

a slope of 5 eliminates options A and B

select one of the given points and plug in values to find the y-intercept:

3 = 5(2) + b

3 = 10 + b

-7 = b

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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