Question

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)

Answer 1

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.