Select a set of value for the variable in the equation, x, and calculate the value of function, f(x). Then the point is (x, f(x)). Repeat for different values of x.
If dealing with a function of several variables (x1, x2, x3, ..., xn), select a set of values for the variables and evaluate the function. Then the coordinates of the point, in n+1 dimensional space, are (x1, x2, x3, ... , xn, f).
Points are usually expressed through their coordinates. For example, in two dimensions, two numbers are used, such as (5, -1); or generically, with variables, you can use something like (x1, y1) for your first point, (x2, y2) for your second point, etc. You can use such values in some equations.
5
Slope cannot be determined by one number. You need either an equation, or two points that can be put on a graph.
In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
But it's not an equation because there is no equal sign and no points are given.
Graph it (the equation).
If you mean points of (2, -8) and (0, 0) then the equation is y = -4x
The equations are equivalent.
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
It is always easier to use an equation to find points since all you would have to do is substitute values into the equation to find the final unknown value that will tell the point. To get the equation, however, you would usually need to have some points at the start to help derive the equation in the end.
If you mean points (7, 2) and (0, 0) then the slope is 2/7 and equation is y = 2/7x
If you mean points of: (2, -8) and (0, 0) then the slope is -4 and equation is y = -4x
Points: (8, 2) and (0, 0) Slope: 1/4 or 0.25 Equation: y = 0.25x