The slope of the line passing through the points (4,1) and (12,8) can be found using the formula:
m = (y2 - y1)/(x2 - x1)
Let's substitute the given values:
m = (8 - 1)/(12 - 4)
m = 7/8
The slope of the line is 7/8. Next, we can use the point-slope form of a line to find the equation:
y - y1 = m(x - x1)
Let's choose one of the points, such as (4,1), and substitute the values:
y - 1 = (7/8)(x - 4)
Multiplying both sides by 8 to eliminate the fraction:
8y - 8 = 7(x - 4)
Expanding the right side:
8y - 8 = 7x - 28
Moving the terms to the other side:
7x - 8y = 20
Therefore, the equation of the line passing through the points (4,1) and (12,8) is 7x - 8y = 20.
Find an equation of the line containing the given pair of points.
(4,1) and (12,8)
1 answer