What is the slope of the line that passes through the points -2,6 and -12,2 Write your answer in simplest form.
To calculate the slope (m) of the line that passes through two points, we can use the slope formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For the points (-2, 6) and (-12, 2), let's assign:
- (x1, y1) = (-2, 6)
- (x2, y2) = (-12, 2)
Now let's plug the values into the formula:
m = (2 - 6) / (-12 - (-2))
m = (-4) / (-12 + 2)
m = (-4) / (-10)
m = 4 / 10
We can simplify this fraction by dividing both the numerator and the denominator by 2:
m = (4 ÷ 2) / (10 ÷ 2)
m = 2 / 5
So the slope of the line that passes through the points (-2, 6) and (-12, 2) in simplest form is 2/5.