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We can use the point slope form of a line to find the equation of the 2 linear functions.
(-3, -10) and (0, 2) are points on the first line.
Slope of first line,
Point slope form of equation of a line is
where m is the slope of the line
and is a point on the line.
Take = (0, 2)
So, equation of the first line is
(0, -12) and (3, -3) are points on the first line.
Slope of second line,
Take = (0, -12)
So, equation of second line is
Substitute y from equation (1) into equation (2)
4x + 2 = 3x - 12
4x - 3x = -12 - 2
x = -14
Substitute value of x in equation (1)
y = 4*(-14) + 2
y = -56 + 2
y = -54
So, solution is (-14, -54) .
ANSWER: (-14, -54)
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