Find an equation of the line containing the given pair of points.
(4,1) and (12,8) Solve for y.
To find the equation of the line containing the given pair of points, we can use the slope-intercept form of a linear equation:
y = mx + b,
where m is the slope of the line and b is the y-intercept.
First, let's find the slope (m) using the given points (4,1) and (12,8):
m = (y2 - y1) / (x2 - x1)
m = (8 - 1) / (12 - 4)
m = 7 / 8
Now, we can choose one of the given points (let's use (4,1)) and substitute the slope and the coordinates of that point into the slope-intercept form to find the y-intercept (b):
1 = (7/8)(4) + b
1 = 7/2 + b
b = 1 - 7/2
b = -5/2
Therefore, the equation of the line containing the given pair of points is:
y = (7/8)x - 5/2
To solve for y, you can simply replace x with any given value or variable and evaluate.