Find the slope of the line containing these points. (1/8, 1/4) and (3/4, 1/2)
The slope of a line is the difference of the y values divided by the difference of the x values.
The slope = (1/2 - 1/4) / (3/4 - 1/8)
which equals 2/5 or 0.4
To find the slope of the line containing the points (1/8, 1/4) and (3/4, 1/2), we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Let's label our points as follows:
Point 1: (x1, y1) = (1/8, 1/4)
Point 2: (x2, y2) = (3/4, 1/2)
Now let's calculate the slope:
slope = (1/2 - 1/4) / (3/4 - 1/8)
To simplify this expression, we need to find a common denominator for the fractions. In this case, the least common denominator (LCD) is 8:
slope = (4/8 - 2/8) / (6/8 - 1/8)
= (2/8) / (5/8)
When dividing by a fraction, we can multiply by its reciprocal:
slope = (2/8) * (8/5)
= 16/40
= 4/10
= 2/5
Therefore, the slope of the line containing the points (1/8, 1/4) and (3/4, 1/2) is 2/5.