Find the gradients of the following lines and state whether the lines are constant, increasing or decreasing functions:

Step 1: Calculate the gradient for 10.1. We use the points (-2, 0) and (2, 3). The gradient formula is m = (y_2 - y_1)/(x_2 - x_1). m = (3 - 0)/(2 - (-2)) = (3)/(2 + 2) = (3)/(4) Since the gradient is positive, the function is increasing. The gradient for 10.1 is (3)/(4), and it is an increasing function. Step 2: Calculate the gradient for 10.2. We use the points (-4, 3) and (4, 3). m = (3 - 3)/(4 - (-4)) = (0)/(4 + 4) = (0)/(8) = 0 Since the gradient is zero, the function is constant. The gradient for 10.2 is 0, and it is a constant function. Step 3: Calculate the gradient for 10.3. We use the points (-1, 0) and (0, -1). m = (-1 - 0)/(0 - (-1)) = (-1)/(1) = -1 Since the gradient is negative, the function is decreasing. The gradient for 10.3 is -1, and it is a decreasing function. Step 4: Determine the equation for line g in 11.1. We use the points (0, 3) and (2, 0). First, calculate the gradient: m = (0 - 3)/(2 - 0) = (-3)/(2) The y-intercept is c = 3 (from the point (0, 3)). Using the slope-intercept form y = mx + c: y = -(3)/(2)x + 3 The equation for line g is y = -(3)/(2)x + 3. Step 5: Determine the equation for line h in 11.1. Line h is a horizontal line passing through y = -1. The equation for line h is y = -1. Step 6: Determine the equation for 11.2. We use the points (-3, 0) and (0, -4). First, calculate the gradient: m = (-4 - 0)/(0 - (-3)) = (-4)/(3) The y-intercept is c = -4 (from the point (0, -4)). Using the slope-intercept form y = mx + c: y = -(4)/(3)x - 4 The equation for 11.2 is y = -(4)/(3)x - 4. Step 7: Determine the equation for 11.3. We use the points (-4, -2) and (0, 2). First, calculate the gradient: m = (2 - (-2))/(0 - (-4)) = (2 + 2)/(0 + 4) = (4)/(4) = 1 The y-intercept is c = 2 (from the point (0, 2)). Using the slope-intercept form y = mx + c: y = 1x + 2 The equation for 11.3 is y = x + 2. Drop the next question.