Final answer:
To find the equation of the line passing through the point (2,2) and cutting off intercepts on the axes whose sum is 4, we need to use the slope-intercept form of a linear equation, which is y = mx + b.
Step-by-step explanation:
To find the equation of the line passing through the point (2,2) and cutting off intercepts on the axes whose sum is 4, we need to use the slope-intercept form of a linear equation, which is y = mx + b. The slope, m, can be found by considering the intercepts. Let's call the x-intercept a and the y-intercept b. Since their sum is 4, we have a + b = 4. Substitute the point (2,2) into the equation to find the slope, m. The equation becomes 2 = 2m + b. Now, we have a system of equations: a + b = 4 and 2 = 2m + b. Solve this system to find the values of a and b, and substituting them into the slope-intercept form, we can find the equation of the line.