Part 1: A (4,5), B (3,3), C (6,9), D (8,13), E (10,15) All but one of the points are on the same line. Which one is not?
Part 2: Plot the points on the coordinate plane and answer the questions k (11,...),L(....,11), and M(40,....) are on that line, too what are the missing coordinates.
Part 1: Point E (10,15) is not on the same line as the other points.
Part 2:
Point K is on the line, so its y-coordinate must also be 15. So, K is (11, 15).
Point L is on the line, so its x-coordinate must also be 4. So, L is (4, 11).
Point M is on the line, so its y-coordinate must satisfy the equation of the line passing through A, B, and C. We can find the equation of the line using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. The slope of the line passing through A and B is (5-3)/(4-3) = 2, and the y-intercept can be found by plugging in the coordinates of point A: 5 = 2(4) + b, so b = -3. Therefore, the equation of the line passing through A and B is y = 2x - 3. Similarly, the slope of the line passing through C and B is (9-3)/(6-3) = 2, and the y-intercept can be found by plugging in the coordinates of point C: 9 = 2(6) + b, so b = -3. Therefore, the equation of the line passing through C and B is y = 2x - 3. Since these two lines coincide, any point on one of the lines is also on the other line. So, the y-coordinate of point M can be found by plugging in its x-coordinate: y = 2(40) - 3 = 77. Therefore, M is (40, 77).