31. Y = -4 32. X + y = 5 Write the equation of the line in point-slope, slope intercept and standard form: 33. A line with a slope of 3 passing through point (2,7) 34. A line passing through points (1,5) and (-2, 14)

31. Y = -4 32. X + y = 5 Write the equation of the line in point-slope, slope intercept and standard form: 33. A line with a slope of 3 passing through point (2,7) 34. A line passing through points (1,5) and (-2, 14)

Answer

31. Y = -4 - Description: This is a horizontal line passing through y = -4. Every point on this line has a y-coordinate of -4. 32. X + y = 5 - Convert to slope-intercept form: y = -x + 5 - Description: This line has a y-intercept at (0, 5), an x-intercept at (5, 0), and a slope of -1. 33. A line with a slope of 3 passing through point (2,7): - Point-slope form: y - 7 = 3(x - 2) - Slope-intercept form: y - 7 = 3x - 6 => y = 3x + 1 - Standard form: 3x - y = -1 34. A line passing through points (1,5) and (-2, 14): - Find the slope (m): m = (14 - 5) / (-2 - 1) = 9 / -3 = -3 - Point-slope form: y - 5 = -3(x - 1) (or y - 14 = -3(x + 2)) - Slope-intercept form: y - 5 = -3x + 3 => y = -3x + 8 - Standard form: 3x + y = 8