Slope intercept is y=mx+b
Now, substitute 0 for x, and y=b. Plot the point (0,y)
Then, substitute 0 for y, this one is a bit more complex:
0=mx+b
-b = mx
-b/m = x
Since you have those values for b and m, substitute them in and you will have your value for x. Plot the point (x,0).
Now for the fun part.... CONNECT THE DOTS!
And you're done, you've plotted the equation. You can also substitute other values for x and y, but I personally find 0 to be the easiest.
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When you are trying to graph an equation.
Yes
The graph of an equation can have a slope and an intercept. Sadly, "x-y-1" is not an equation, so it doesn't have any.
The slope-intercept form of the equation is y = mx + b, where m represents the slope and b represents the y-intercept. It is used to graph linear equations easily.
If you have anything that you're planning to graph, it's got to be an equation that has 'x' and 'y' in it. If you have an equation that has 'x' and 'y' in it and you're planning to graph the equation, then you've had enough elementary algebra to know how to solve the equation for 'y'. Do that first and bada bing, it'll be in slope/intercept form.