Write AN EQUATION of the line that passes through the given points (-1,4) and (2,-5)

1 answer:

7 0

Answer: y = -3x + 1

step-by-step process
find the slope first using (y-y)/(x-x)
(4-(-5))/(-1-2) = 9/(-3)
m = -3

then use one of the points to find the y-intercept by putting it in y=mx+b, substituting m with -3 (aka the slope) as well
4 = -3(-1) + b
4 = 3 + b
4 - 3 = 3 + b - 3
1 = b

therefore, the equation for the line is: y=-3x+1

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Which ordered pair is a solution for 3x + 4y < 12?

Andre45 [30]

Answer:

D, (1,2)

Step-by-step explanation:

It all comes down to substitution. In this case the coefficient of x is 3 and the coefficient of y is 4. The format of these coordinates being (x,y).

1. Plug in your x value (1 in this circumstance) and solve:

3(1) + 4y < 12

3 + 4y < 12

2. Plug in your y value (2 in this circumstance) and solve:

3 + 4(2) < 12