Find the slope of the line that goes through the given points. (-2,1) and (1/4,5)
This a linear equation system
I) 1 = a*(-2) + b
II) 5 = a*(0.25) + b
y2-y1 5-1 4 1
_____= _________=_______=______
x2-x1 1/4-(-2) 1/4+2 9
To find the slope of a line that passes through two given points, you can use the formula for slope:
m = (y2 - y1) / (x2 - x1)
In this case, let's label the first point as (x1, y1) and the second point as (x2, y2).
Point 1: (-2, 1)
Point 2: (1/4, 5)
Now let's substitute the values into the slope formula:
m = (5 - 1) / (1/4 - (-2))
Simplifying:
m = 4 / (1/4 + 8/4)
m = 4 / (9/4)
m = 16/9
Therefore, the slope of the line passing through the points (-2, 1) and (1/4, 5) is 16/9.