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How do you graph a line using a point on the line and the slope?
Wiki User
∙ 15y ago
You use the point slop formula to find the Y intercept. (Y value of point) minus (x value of point times slope) = y intercept. Your line is then slope times x plus the Y-intercept, and you can graph it as you would any other line. If you need more help, message me. Hope this helps. ~Skularach This is simply asking, "Hey, how do I find the Y intercept in the slope-intercept formula so that I can graph the bleeding thing when I only know a point on the line (x,y) and the slope? The slope-intercept equation is y=mx+b where x and y are coordinates on the line, m=the slope and b=the Y intercept (that is, where the line intersects the vertical axis on the Cartesian coordinate plane, ans X always is equal to 0). So, let's try an example: Let's say the point you know (x, y) is (1,2) and the slope is 3 So, SUBSTITUTE THESE VALUES IN THE EQUATION Y=MX+B 2=(3)(1)+B So, solve for B: B = 2 - 3 = -1 So (0, -1) is your Y intercept. On a sheet of graph paper go down one square below the ordinate or centre or (0,0) and draw a dot. Slope=Rise/Run = 3/1 So, starting with the dot you just drew, go one square to the right and up three squares and draw another dot at (2,1)----As you see, you could have just gone ahead and drawn the dot at (2,1) on the graph to begin with, but I wanted to illustrate how slope comes in. Now, simply draw a straight line between (0,-1) and (2,1) on the page and extend the line in both direction to the edges of the paper, putting arrows at both ends. Behold, your line!
Wiki User
∙ 15y ago
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How do you graph using point slope?
A straight line on the Cartesian plane
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 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 do you determine a slope from a graph?
Slope = (vertical change)/(horizontal change), commonly referred to as rise/run. If the graph is a straight line, then you can count squares or measure how much change in vertical, over a specified change in horizontal. If it is a curve, then you need to have a tangent line (a line that touches the curve at a specific point and has the same slope as the line), then you can determine the slope of that line using the method described, above.
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.
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 do you graph using point slope?
A straight line on the Cartesian plane
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.
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.
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.
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.
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
How do you Graph a line with a slope passing through the point 4-3?
7
Along with the slope what is needed to graph a line?
Either a point on the line or the y intercept.
