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.
A graph is more informative than an equation because a graph is easier to interpret visually, and find all the points and line them up, rather than just a slope which shows no points(data).
In case any of the points has been miscalculated you will not have a straight line - alerting to to the fact that there is a mistake.
To graph an equation that is not in slope-intercept form, you can use the process of finding points on the graph and plotting them. Choose a few x-values, plug them into the equation to find the corresponding y-values, and plot those points on the graph. Then, connect the points with a smooth line to complete the graph.
You do not, but it is easier.
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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.
An equation crosses the horizontal axis at points where the output value (usually represented by (y)) is zero. These points are known as the roots or x-intercepts of the equation. To find these points, you set the equation equal to zero and solve for the variable, typically represented as (x). Graphically, this represents the points where the graph of the equation intersects the x-axis.
Graph it (the equation).
If you mean points of (2, -8) and (0, 0) then the equation is y = -4x
The equations are equivalent.
The slope is usually derived from the equation y = mx + b where m is the slope and b is the y-intercept. Slope: m = (y2 - y1)/(x2 - x1) As for finding intercepts, for finding the y intercept, look for the b in the equation or make x = 0, for x-intercepts, make y = 0.