How do you graph #y=x+7# by plotting points?
Plot at least two more points using the gradient (in this case 1).
If the gradient = 1, that means that for every 1 you go in the y direction, you also go 1 in the x direction.
Using this, you can plot at least 2 more points, and then connect the points and extend the line.
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To graph the equation y = x + 7 by plotting points, you can choose several values for x, calculate the corresponding values for y using the equation, and then plot those points on a Cartesian coordinate plane. For example, when x = 0, y = 0 + 7 = 7. So, one point on the graph is (0, 7). When x = 1, y = 1 + 7 = 8. So, another point is (1, 8). You can continue this process to find additional points and then plot them on the graph. After plotting the points, connect them with a straight line to represent the graph of the equation y = x + 7.
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To graph the equation y = x + 7 by plotting points, you can choose various values for x, calculate the corresponding y values using the equation, and then plot those points on a coordinate plane. Here's a stepbystep guide:

Choose some values for x. You can choose any values you like, but it's usually helpful to pick values that are easy to work with. For example, you might choose x = 3, 2, 1, 0, 1, 2, 3.

Substitute each chosen value of x into the equation y = x + 7 and solve for y. For example:
 When x = 3: y = (3) + 7 = 4
 When x = 2: y = (2) + 7 = 5
 When x = 1: y = (1) + 7 = 6
 When x = 0: y = 0 + 7 = 7
 When x = 1: y = 1 + 7 = 8
 When x = 2: y = 2 + 7 = 9
 When x = 3: y = 3 + 7 = 10

Plot each point (x, y) on the coordinate plane using the values you calculated. For example, the points would be: (3, 4), (2, 5), (1, 6), (0, 7), (1, 8), (2, 9), (3, 10).

Once you've plotted all the points, you can connect them with a straight line to graph the equation y = x + 7.

Optionally, you can extend the line beyond the plotted points to show that it continues indefinitely in both directions.
That's it! You've graphed the equation y = x + 7 by plotting points.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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