I don't know how to explore the slope intercept line equation.
However, 'b' is the y axis intercept (the point where is crosses the y axis and 'm' is the slope of the line. The 'm' and the 'b' can be positive or negative numbers.
A positive 'm' is a line that goes 'up' (the y value increases from the left to right) and a negative 'm' is a line that goes 'down' (the y value decreases from left to right).
H = - 16 t² + 36 t + 10 The maximum height of the ball is at the vertex of the parabola. t = - b / 2 a t = -36/-32 t = 1.12 s The maximum height of the ball: h max = - 16 * 1.12² + 32* 1.12 + 10 = - 16 * 1.2544 + 35.84 + 10 = = - 20.0704 + 45.84 = 25.7696 = 25.77 m
