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When acceleration is negative, the velocity-time graph should have a negative slope and the displacement-time graph should bend downward. When acceleration is zero, all three graphs should lie on the horizontal axis.
The slope of the graph tells you how fast the object is moving. The sign of the slope indicates direction of motion. What would a graph look like if an object is… Moving away from 0 meters Stopped Moving towards 0 meters. The steepness of the line indicates how fast an object is moving. What would a graph look like if an object is…
It is helpful to graph both the given line (dotted) and the new line (solid) on the same coordinate plane in order to see the parallel or perpendicular description.
• To find the slope of a line using the slope formula. • To illustrate the characteristics of lines with positive, zero, negative, or undefined slope. • To associate increasing , horizontal , decreasing , or vertical with the appropriate slope.
Since the slope of a line on a v-t graph is the object's acceleration, an object with - acceleration is represented by a line with - slope. Thus, the line is a straight diagonal line with downward (-) slope. Since the velocity is -, the line is plotted in the - region of the v-t graph.
Point-Slope Form (Practice Worksheet) Write an equation in point-slope form of the line that passes through the given point and has the given slope. (2, 7); m = -4 (12, 5); m = -3 (4, -5); m = 6 (-6, -2); m = 3 (7, -6); m = (-8, 2); m = Graph the equations below.
Gradients of Straight Line Graphs. Equations featuring x and y (and no x^3 or y^2 etc.) are straight lines. The gradient of a line is a measure of how steep it is. If the gradient is small, the slope of the line will be very gradual, but if the gradient is big, the line will be quite steep.