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What does a distance time graph show?
A distance-time graph shows the movement of an object with respect to time. The average slope between any two points on the graph is equal to the average velocity of the object between those two points. The instantaneous slope (or derivative) at a point on the graph is equal to the instantaneous velocity of the object at that point.
How do you find slope using x and y intercepts?
Your x and y intercepts give you two points on the line of the graph. Use these two points in the slope equation m = (y2-y1)/(x2-x1), and that gives you the slope.
How do you get the slope of a line on a graph?
Take a tangent at the point where you want the slope. Then the slope of the graph at that point is the slope of the tangent, which is found by taking another point on the tangent and then taking the change in y between the two points and divid it by the change in x.
How can you use a table or graph to find a slope?
To find the slope using a table or graph, identify two points on the line or in the table that represent (x, y) coordinates. The slope (m) can be calculated using the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are the coordinates of the two points. In a graph, the slope represents the steepness of the line, indicating how much y changes for a unit change in x. By examining the rise over run visually in the graph or through the differences in the table, you can determine the slope.
How do you determine the slope of a line on an graph?
Rise divided by run. (Y2 - Y1) / (X2 - X1) - with (X1, Y1) and (X2, Y2) being two points on the graph.
How do you find slope on a distance vs. time graph?
To find the slope on a distance vs. time graph, you calculate the change in distance divided by the change in time between two specific points on the graph. The slope represents the speed or velocity of an object. A steeper slope indicates a greater speed.
What is the slope of negative 8?
Slope cannot be determined by one number. You need either an equation, or two points that can be put on a graph.
Average velocity is equal to the slope of a secant line through two points on which graph?
All of them...?
How does increasing the number of data points on a position-time graph improve your ability to estimate instantaneous velocity at any point on the curve?
more data points give you a much closer estimate to the slope of the graph at one single point. The slope of the graph between two points is the average velocity between two points, but with more points present, the data points will be closer together to give you a much closer approximation of the slope at one single point
What does a distance time graph show?
A distance-time graph shows the movement of an object with respect to time. The average slope between any two points on the graph is equal to the average velocity of the object between those two points. The instantaneous slope (or derivative) at a point on the graph is equal to the instantaneous velocity of the object at that point.
How do you find slope using x and y intercepts?
Your x and y intercepts give you two points on the line of the graph. Use these two points in the slope equation m = (y2-y1)/(x2-x1), and that gives you the slope.
How do you get the slope of a line on a graph?
Take a tangent at the point where you want the slope. Then the slope of the graph at that point is the slope of the tangent, which is found by taking another point on the tangent and then taking the change in y between the two points and divid it by the change in x.
What data must you have to make a line graph?
You can draw a line graph if you have-- the slope of the line and one point on the lineOR-- two points on the line
What does the slope of a speed vs time graph indicate about an object's motion?
The slope of the speed/time graph is the magnitude (size) of the object's acceleration.
How do you determine the speed of an object by looking at a graph?
To determine the speed of an object from a graph, you can calculate the average speed by finding the slope of the line connecting two points on the graph. The steeper the slope, the higher the speed. Alternatively, you can also find the instantaneous speed by looking at the slope of the tangent line at a specific point on the graph.
How do you graph 5x - 6y equals -30?
Two ways. You can solve for y and then use slope intercept or use x and y intercepts. If x=0 then y=5 (0,5) If y=0 then x=-6 (-6,0) Graph those two points and then draw a line through them.
What statement best compares a line and a point?
In my opinion a point is just a point on a graph A line is two points or more points with a certain slope
