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Assuming you mean a straight line, then:
The slope of the line gives you the change in Y for every change in X.
So if the known point (Xo, Yo) and then the point (Xo + 1, Yo + gradient) are plotted, those points can be joined by a straight line which can be extended in both directions to draw the graph of the line.
Alternatively, still assuming a straight line, if it goes through point (Xo, Yo) with gradient m, then the equation of the line is:
y - Yo = m(x - Xo)
⇒ y = mx + (Yo - mXo)
and then the equation can be drawn by selecting a couple of values of x and calculating their y value, plotting the points and joining them as above.
What else can I help you with?
How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
What feature of a distance per time graph represents speed?
The gradient (slope) of the tangent to the graph at the given time - provided that it exists. If the graph is a straight line at that point, it is the gradient of that line.
What is a slope when dealing with graph?
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
How do you graph using point slope?
A straight line on the Cartesian plane
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.
Find the slope of a tangent line to the graph?
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
How do you tell whether a graph shows a constant or variable rate of change?
The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.
When you graph a line using only the slope and a point what step do you start with?
When you graph a line using only the slope and a point, you start by graphing the point.
How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
What feature of a distance per time graph represents speed?
The gradient (slope) of the tangent to the graph at the given time - provided that it exists. If the graph is a straight line at that point, it is the gradient of that line.
What do you call the point where a line on a graph changes slope?
Nothing particular. The graph of y = x2, for example, changes slope at each point on the graph.
Find the constant of variation and the slope of the given line from the graph of y equals 2.5x?
find the constant of variation and the slope of the given line from the graph of y=2.5x
How do you know if the slope is zero from a graph?
A line on a graph with zero slope is a horizontalline.' Y ' is the same number at every point on the line.
How do you graph the slope of a function?
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.
Properties of a slope?
The slope of a line can be determined by examining the graph; only one line through a point has a particular slope.
What is a slope when dealing with graph?
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
How is acceleration obtained from a velocity line graph?
Acceleration can be obtained from a velocity line graph by calculating the slope of the line at a particular point. The slope of the line represents the rate of change of velocity, which is the acceleration. The steeper the slope, the greater the acceleration.
