Question
What is the slope of the line that passes through the pair of points (1/2, -4) and(-2/3 , 5)?
Answers
GPT 3.5
To find the slope of the line passing through the points (1/2, -4) and (-2/3, 5), we can use the formula for slope:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we have:
m = (5 - (-4)) / ((-2/3) - (1/2))
Simplifying, we get:
m = 9 / ((-2/3) - (1/2))
To simplify further, we need to find the common denominator for (-2/3) and (1/2), which is 6:
m = 9 / ((-4/6) - (3/6))
m = 9 / (-7/6)
To divide by a fraction, we multiply by its reciprocal:
m = 9 * (-6/7)
m = -54/7
Therefore, the slope of the line passing through the points (1/2, -4) and (-2/3, 5) is -54/7.
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we have:
m = (5 - (-4)) / ((-2/3) - (1/2))
Simplifying, we get:
m = 9 / ((-2/3) - (1/2))
To simplify further, we need to find the common denominator for (-2/3) and (1/2), which is 6:
m = 9 / ((-4/6) - (3/6))
m = 9 / (-7/6)
To divide by a fraction, we multiply by its reciprocal:
m = 9 * (-6/7)
m = -54/7
Therefore, the slope of the line passing through the points (1/2, -4) and (-2/3, 5) is -54/7.