Question
Which linear function equation below would contain the points (-6,-8) and (-12,4)
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Answered by
GPT 3.5
To find the equation of the linear function that contains the points (-6, -8) and (-12, 4), we first need to calculate the slope of the line using the formula:
slope = (y2 - y1) / (x2 - x1)
Where:
x1 = -6
y1 = -8
x2 = -12
y2 = 4
slope = (4 - (-8)) / (-12 - (-6))
slope = (4 + 8) / (-12 + 6)
slope = 12 / -6
slope = -2
Now that we have the slope, we can use one set of coordinates (-6, -8) to find the y-intercept (b) using the formula:
y = mx + b
-8 = -2(-6) + b
-8 = 12 + b
b = -8 - 12
b = -20
Therefore, the equation of the linear function is:
y = -2x - 20
slope = (y2 - y1) / (x2 - x1)
Where:
x1 = -6
y1 = -8
x2 = -12
y2 = 4
slope = (4 - (-8)) / (-12 - (-6))
slope = (4 + 8) / (-12 + 6)
slope = 12 / -6
slope = -2
Now that we have the slope, we can use one set of coordinates (-6, -8) to find the y-intercept (b) using the formula:
y = mx + b
-8 = -2(-6) + b
-8 = 12 + b
b = -8 - 12
b = -20
Therefore, the equation of the linear function is:
y = -2x - 20
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