Answer: The straight line goes through (-2,7) and (-1,11)
See the graph below
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Step-by-step explanation:
Start at (-2,7). Then we'll move up 4 and to the right 1 to arrive at (-1,11). A straight line goes through those two points.
The motion "up 4, right 1" is due to the slope = 4 = 4/1
- slope = rise/run
- rise = 4 = go up 4 units
- run = 1 = go to the right 1 unit
Refer to the diagram below. I used GeoGebra to make the graph.
When graphing the red line, the arrows in black won't be present. They are there to show the "up 4, right 1" motion. Think of it as part of the scratch work. If you want, you can leave those arrows in so your teacher can see your thought process.
The equation of this line in slope-intercept form is y = 4x+15. It can be rewritten into standard form 4x-y = -15.