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.
a parabola doesn't have one slope, the slope is constantly changing as you move accross the graph. however, it is possible to find a slope to a line tangent to a point on a parabola. to do this, take the derivative of the equation for the given parabola. then, take the X,Y coordinate and plug in the x value for the point. So, if the graph of of the equation was given by y=x^2, the derivative would be dy/dx=2x. you would then take a point, e.x. (2,4) and plug in the x value, 2, into dy/dx=2x, yielding a slope of 4 for the line tangent to that point.
you get slope when you take 2 points from a graph and divide y2 - y1 by x2 - x1. example: Compute the slope of the line between graph points (13,4) and (6,9). y2 - y1 = 9 - 4 = 5, x2 - x1 = 6 - 13 = -7, so the slope is 5/-7 (five over negative seven)
y intercept is when x is zero then you solve. slope is rise over run or y -y1 divided by x -x1 you graph by puting the y intersept on the y axis then you take the slope and do the rise then the run
Point-slope refers to a method for graphing a linear equation on an x-y axis. When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is also used to take a graph and find the equation of that particular line. Point slope form gets its name because it uses a single point on the graph and the slope of the line. Think about it this way: You have a starting point on a map, and you are given a direction to point. You have all the information you need to draw a single line on the map. The standard point-slope equation looks like this: It should be noted that "y1" does not mean y multipled by 1. In this case it means "y sub one", which is the y value for the point you will be using. The variable m is the slope of the line
To create an acceleration-time graph from a velocity-time graph, you need to find the slope of the velocity-time graph at each point. The slope represents the acceleration at that specific instant. Plot these acceleration values against time to get the acceleration-time graph.
For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.
To find instantaneous velocity from a position-time graph, you calculate the slope of the tangent line at a specific point on the graph. The slope represents the rate of change of position at that instant, which is equivalent to the velocity at that particular moment.
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.
Remember the standard form of an equation:Y = (slope) x + (y-intercept)Now take your equationY = (-1) x + (0)Compare yours to the standard one.That's how to find them.Now can you identify the slope and y-intercept of the graph of your equation ?
a parabola doesn't have one slope, the slope is constantly changing as you move accross the graph. however, it is possible to find a slope to a line tangent to a point on a parabola. to do this, take the derivative of the equation for the given parabola. then, take the X,Y coordinate and plug in the x value for the point. So, if the graph of of the equation was given by y=x^2, the derivative would be dy/dx=2x. you would then take a point, e.x. (2,4) and plug in the x value, 2, into dy/dx=2x, yielding a slope of 4 for the line tangent to that point.
you get slope when you take 2 points from a graph and divide y2 - y1 by x2 - x1. example: Compute the slope of the line between graph points (13,4) and (6,9). y2 - y1 = 9 - 4 = 5, x2 - x1 = 6 - 13 = -7, so the slope is 5/-7 (five over negative seven)
y intercept is when x is zero then you solve. slope is rise over run or y -y1 divided by x -x1 you graph by puting the y intersept on the y axis then you take the slope and do the rise then the run
The slope of the line tangent to the curve on a position-time graph at a specific time represents the velocity of the object at that particular moment. It indicates how fast the object is moving at that instant.
Point-slope refers to a method for graphing a linear equation on an x-y axis. When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is also used to take a graph and find the equation of that particular line. Point slope form gets its name because it uses a single point on the graph and the slope of the line. Think about it this way: You have a starting point on a map, and you are given a direction to point. You have all the information you need to draw a single line on the map. The standard point-slope equation looks like this: It should be noted that "y1" does not mean y multipled by 1. In this case it means "y sub one", which is the y value for the point you will be using. The variable m is the slope of the line
Take the largest value in the graph and subtract the smallest value from it.
Take the derivative of the function.