Find the slope of the line given it's graph -1/2, 1/2, 2, 4
To find the slope of the line given its graph, we need to choose two points on the line. Let's choose the points (-1/2, 1/2) and (2, 4).
The slope (m) of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the values:
m = (4 - 1/2) / (2 - (-1/2))
= (4 - 1/2) / (2 + 1/2)
= (8/2 - 1/2) / (4/2 + 1/2)
= (7/2) / (9/2)
= 7/2 * 2/9
= 7/9
Therefore, the slope of the line is 7/9.
To find the slope of a line given two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's assign the coordinates to the variables:
(x1, y1) = (-1/2, 1/2)
(x2, y2) = (2, 4)
Now, let's substitute the values into the formula:
slope = (4 - 1/2) / (2 - (-1/2))
Simplifying the numerator:
slope = (8/2 - 1/2) / (2 + 1/2)
slope = (7/2) / (5/2)
To divide fractions, we multiply by the reciprocal of the divisor:
slope = (7/2) * (2/5)
Multiplying the numerators and denominators:
slope = 14/10
Simplifying the fraction:
slope = 7/5
Therefore, the slope of the line is 7/5.
To find the slope of a line given its graph, you need to identify two points on the line. Let's call them point A and point B. In this case, we have the points (-1/2, 1/2) and (2, 4) on the line.
The slope of a line can be calculated using the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's apply this formula to the given points.
The change in y-coordinates is (4 - 1/2), which simplifies to (8/2 - 1/2), giving us (7/2).
The change in x-coordinates is (2 - (-1/2)), which simplifies to (4/2 + 1/2), giving us (5/2).
Now, we can plug in these values into the slope formula:
slope = (7/2) / (5/2)
To simplify, we can multiply the numerator by the reciprocal of the denominator:
slope = (7/2) * (2/5)
Here, the 2s cancel out, giving us:
slope = 7/5
Therefore, the slope of the line is 7/5.