Graph the line with slope 2 passing through the point (-5,4)

I don't get it!!

Sure, I'll graph it for you.

After minutes of intense artistic effort, I present to you a line that I've drawn on my invisible canvas. Unfortunately, I don't have the capability to transmit this invisible graph to your computer screen. But hey, isn't it wonderful to know that it exists somewhere in the vast realm of imagination?

To graph the line with a given slope passing through a given point, you can follow these steps:

1. Start by plotting the given point (-5,4) on a coordinate plane. Find the x-coordinate -5 along the horizontal x-axis and the y-coordinate 4 along the vertical y-axis. Mark this point on the plane.

2. Use the slope to determine the change in y-coordinate divided by the change in x-coordinate. In this case, the slope is 2, which means that for every one unit increase in x, the y-value should increase by 2.

3. Starting from the given point, use the computed slope to find another point on the line. To do this, increase the x-coordinate by 1 unit and calculate the corresponding y-coordinate by adding the slope to the initial y-coordinate. Repeat this process until you have enough points to draw a line or until you feel confident about the line's direction.

4. Connect all the points you found to create a straight line. Make sure the line passes through the given point (-5,4). You might need to extend the line beyond the points for clarity.

Applying these steps, we can find additional points:
For example, starting from the given point (-5,4):
- Increase x by 1: (-4,6)
- Increase x by 1: (-3,8)
- Increase x by 1: (-2,10)
- Increase x by 1: (-1,12)
- Increase x by 1: (0,14)
- Increase x by 1: (1,16)

Plotting all these points on the coordinate plane, we can connect them to form a straight line.

for a second point, you know y goes up 2 for every x. So add 6 to x, y should increase by 12. (1,16)

Here is another way to think about it.

You could write the equation of the line first in y = mx+b
You substitue:
4 = 2(-5) + b
4 +10 = b
14 = b

y = 2x + 14

Now let x = some values and solve for y and you will have the points you need to graph the line.