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 (4,9)
The equation of the line containing the points (0,0) and (4,9) can be found by first finding the slope of the line using the formula:
m = (y2 - y1)/(x2 - x1)
Substituting the coordinates of the points, we have:
m = (9 - 0)/(4 - 0) = 9/4
So the slope of the line is 9/4.
Now, we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is given by:
y - y1 = m(x - x1)
Substituting the coordinates of one of the points, for example (4,9):
y - 9 = (9/4)(x - 4)
Simplifying, we get:
y - 9 = (9/4)x - 9
Adding 9 to both sides, we have:
y = (9/4)x
Therefore, the equation of the line containing the given pair of points is y = (9/4)x.