Find the slope of the line that passes through (4, -17) and (78, -47).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The slope of a line passing through two points, (x₁, y₁) and (x₂, y₂), is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the coordinates given, we can substitute the values into the formula:
m = (-47 - (-17)) / (78 - 4)
m = (-47 + 17) / (78 - 4)
m = -30 / 74
m = -15 / 37
The slope of the line passing through (4, -17) and (78, -47) is -15/37.
To find the slope of a line passing through two points (x1, y1) and (x2, y2), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (4, -17) and (78, -47). Plugging in the values, we get:
slope = (-47 - (-17)) / (78 - 4)
simplifying this expression:
slope = (-47 + 17) / (78 - 4)
slope = (-30) / (74)
The slope of the line passing through (4, -17) and (78, -47) is -30/74.
To find the slope of a line that passes through two points, you can use the formula:
slope = (change in y)/(change in x)
In this case, we have the points (4, -17) and (78, -47).
To find the change in y, subtract the y-coordinate of one point from the y-coordinate of the other point:
change in y = -47 - (-17) = -47 + 17 = -30
To find the change in x, subtract the x-coordinate of one point from the x-coordinate of the other point:
change in x = 78 - 4 = 74
Now, we can use the formula to calculate the slope:
slope = (-30)/(74)
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case:
slope = (-30/2)/(74/2)
This simplifies to:
slope = -15/37
Therefore, the slope of the line that passes through (4, -17) and (78, -47) is -15/37.