What is the equation of this line in standard form (1 1/2,2) (-4,-1)

In general the line through (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

(-4 - 3/2)(y - 2) = (-1 - 2)(x - 3/2)

Multiply both sides by 2 to clear the fractions.  We use the 2 in the first factor on the left and the second on the right.

(-8 - 3)(y-2)=(-3)(2x - 3)

-11(y - 2) = -3(2x - 3)

-11y + 22 = -6x  + 9

6x - 11y =  9 - 22 = -13

6x - 11y = -13

Check:

6(1 1/2) - 11(2) = 9 - 22 = -13, good

6(-4) - 11(-1) = -24 + 11 = -13, good

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: