The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
<h3>What is the Equation of a Linear Function?</h3>
Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
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I believe the answer is C
Check the picture below.
so the figure is really just 3 rectangles and two triangles.
simply get the area of all 5, sum them up, and that's the area of the figure.
recall that area of a triangle A = ½bh.
3x2+4x=2
6+4x=2
-6 -6
4x=-4
4 4
x=-1
P(B) = 2/15
The area of rectangle A is 5(7) = 35 in².
The area of rectangle B is 3(4) = 12 in²
The area of square C is 4(4) = 16 in²
The area of rectangle D is 3(9) = 27 in²
The total area of the figure is 35+12+16+27 = 90 in².
The probability of hitting B is 12/90 which simplifies to 2/15.
