SOLUTION: how do you graph y=x-4

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Question 1110198: how do you graph y=x-4

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
How to graph the line depends on what you know.

Order pair numbers (x,y) according to x and y number lines meeting at right angle...

Make a table of x & y values. If you studied more than this, then use it. Otherwise, pick an x and evaluate the y; and pick another x and evaluate that y. Do another or so if you want. Plot the points. Draw the line through them.

graph%28400%2C400%2C-6%2C6%2C-6%2C6%2Cx-4%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


This equation is in slope-intercept form, y=ax+b, with a=1 and b = -4:
y+=+ax%2Bb+=+%281%29x%2B%28-4%29+=+x-4

In this form, the a is the slope and the b is the y-intercept.

The intercept -- or more precisely, the y-intercept, is where the graph crosses the y-axis. Since everywhere on the y-axis the x value is 0, the y-intercept is the value of the function when x is 0:
y+=+x-4+=+0-4+=+-4
The y-intercept is -4, or (0,-4).

So start your graph by marking the point (0,-4) on your graph.

The slope, a=1, tells you how much the graph rises (positive slope) or falls (negative slope) each time you "take one step forward" -- i.e., move 1 to the right. So a slope of 1 tells you that each time you move 1 to the right, the graph moves up 1.

So starting at your y-intercept of (0,-4), repeatedly move right 1 and up 1 to plot another point, until you have enough points to make a relatively accurate line.

Or you could just go 5 to the right and up 5 and plot just one more point.

When you have enough points, draw the line containing all the points. Remember that the line continues infinitely in both directions; it doesn't just contain the points you plotted.