write the equation of a line containing the slope of 2 and goes through the point (2,9)?

Answer 1

If we write the equation of the line as y = mx+b, this is a straightforward process:

In the above equation, m is the slope. Since we are given the slope as 2, we know that y = 2x + b (1)

We also know that it contains the point (2,9). In other words, when x = 2, y = 9.

If we plug those into (1), we know that 9 = 2 (2) + b, so 9 = 4 + b, so b = 5.

Since we have b and m, we can now write the equation of the line, which is: y = 2x + 5.