Find the slope of the line through each pair of points. Simplify as much as possible
(-2g,6h), ( 2i,7g)
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
In this case, we have the points (-2g, 6h) and (2i, 7g). Let's assign the values of these points to the variables:
x1 = -2g
y1 = 6h
x2 = 2i
y2 = 7g
Now we can substitute these values into the slope formula:
m = (y2 - y1) / (x2 - x1)
= (7g - 6h) / (2i - (-2g))
To simplify this expression, we can factor out any common terms:
m = (7g - 6h) / (2i + 2g)
And that's the simplified slope of the line passing through these two points.