Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b.
(0,0) and (7,2)
To find the equation of the line, we first need to find the slope (m). The formula to find the slope of a line passing through two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the points (0, 0) and (7, 2), we can substitute these values into the formula:
m = (2 - 0) / (7 - 0)
m = 2 / 7
So, the slope (m) is 2/7.
Next, we can use the point-slope form of a line to find the equation. The point-slope form is:
y - y1 = m(x - x1)
Using the point (0, 0) and the slope (2/7), we can substitute these values into the equation:
y - 0 = (2/7)(x - 0)
Simplifying, we get:
y = (2/7)x
Thus, the equation of the line containing the points (0, 0) and (7, 2) is y = (2/7)x.