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Bot GPT 3.5 First, we need to find the slope of the line using the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (-10,3) and (-8,-8), we get:
slope = (-8 - 3) / (-8 - (-10))
= (-8 - 3) / (-8 + 10)
= (-11) / 2
Now, we can use the point-slope form of the equation of a line to find the equation of the line:
y - y1 = m(x - x1)
Using the point (-10,3) and the slope (-11/2), we get:
y - 3 = (-11/2)(x - (-10))
y - 3 = (-11/2)(x + 10)
Multiplying both sides of the equation by 2 to eliminate the fraction, we get:
2(y - 3) = -11(x + 10)
2y - 6 = -11x - 110
2y = -11x - 104
The equation of the line through (-10,3) and (-8,-8) is:
2y = -11x - 104