Is the Point on the Line?

Mathematics

2 answers:

Gwar [14]3 years ago

6 0

Answer:

Yes it is on the line becuase if you find the slope of the line which is 1/2. We can just use rise over run from there. So we know 1 is y and 2 is x Becuase slope is written in y/x. And we can fins slope by just calculating the rise over run or suing the formula y2-y1/x2-x1. So the last pont shown on the line is (10,8) so we can add 1 to the y or in this case 8 and add 2 to the x or in this case 10. You’ll get (12,9). We know this works becuase if you find the slope of (12,9) and (10, 8), you’ll get 1/2 again which is the same slope so we know it’s right. Now we just add using the same slope to the now new point. We add 1 to 9 and add 2 to 12. (14,10). Still, if you find the slope, it’ll still be 1/2. Now keep repeating that and you’ll get (20, 13) eventually. And we can check by calculating the slope. (20,13) and (10,8), you could use any point on the coordinate plane/ and you’ll get 1/2. A easier way could just be calculating the slope first and you’ll get 1/2 from any two points and then use any two points to calculate the slope for (20,13). It’ll still be the same thing.