(2) Find the equation of the line that passes through the point $(2,4)$ and $(1,2)$. Give your answer in slope intercept form. show all work

Step 1 ：Given two points (2,4) and (1,2), we need to find the equation of the line that passes through these points in slope intercept form.

Step 2 ：The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: \(m = \frac{y2 - y1}{x2 - x1}\).

Step 3 ：Substituting the given points into the formula, we get: \(m = \frac{2 - 4}{1 - 2} = 2.0\).

Step 4 ：Now that we have the slope, we can use the point-slope form of the line equation to find the y-intercept (b). The point-slope form is: \(y - y1 = m(x - x1)\).

Step 5 ：Substituting one of the points (2,4) and the slope into the point-slope form of the line equation, we get: \(4 - 2 = 2.0(2 - 2)\), which simplifies to \(b = 0.0\).

Step 6 ：Finally, substituting the slope and y-intercept into the slope-intercept form of the line equation (y = mx + b), we get the equation of the line: \(y = 2x + 0\).

Step 7 ：Since adding 0 does not change the value, the equation simplifies to: \(\boxed{y = 2x}\).