Point on Graph of Equation....1

In summary, a point on a graph refers to a specific location or coordinate that represents a value or set of values. To find a point on a graph, you will need an equation or set of data points to plot. The equation of a graph represents the relationship between the independent and dependent variables. To graph an equation, you will need to plot points that satisfy the equation and connect them to create a line or curve. To determine if a point is on a graph, you can substitute its coordinates into the equation and see if it satisfies it.
  • #1
mathdad
1,283
1
Determine if the given point lies on the graph of the equation.

(a, 4a); y = 4x

Solution:

Let y = 4a

Let x = a

y = 4x

4a = 4a

Yes, the point (a, 4a) lies on the graph of y = 4x.

Correct?
 
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  • #2
Correct.
 
  • #3
I'm cooking with gas.
 

FAQ: Point on Graph of Equation....1

What is a point on a graph?

A point on a graph refers to a specific location or coordinate on a graph that represents a value or set of values. It is typically represented by an ordered pair (x, y) where x represents the horizontal axis and y represents the vertical axis.

How do you find a point on a graph?

To find a point on a graph, you will need to have an equation or set of data points that you can plot on the graph. Once you have the equation or data points, you can use the coordinates to plot the point on the graph.

What does the equation of a graph represent?

The equation of a graph represents the relationship between the independent variable (usually represented by x) and the dependent variable (usually represented by y). It shows how the value of y changes in relation to the value of x.

How do you graph an equation?

To graph an equation, you will need to plot points on a coordinate plane that satisfy the equation. You can do this by choosing arbitrary values for x and solving for y, or by using a table of values. Once you have enough points plotted, you can connect them to create a line or curve, depending on the type of equation.

How do you determine if a point is on a graph of an equation?

To determine if a point is on a graph of an equation, you can substitute the coordinates of the point into the equation and see if the resulting equation is true. If the point satisfies the equation, then it is on the graph. If not, then it is not on the graph.

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