What is the value of r (-2,4),(r,5),m=1/5

Answer 1

So I ask you these questions: what does that m represent and what do those numbers between those parenthesis represent? M represents the slope of a line, and those numbers between those parenthesis are points or coordinates of a two-dimensional graph or a Cartesian plane. And then I ask you another question, whats the game plan? The game plan is to isolate r so we can find the value of it. So we now understand these clues that were given to us: slope and 2 sets of points which means we can place these clues in a formula you must never forget: the Point Slope formula. The point slope formula allows us to plot the two points given to us on a line and goes like this:

y2-y1 = m(x2-x1) where y1 and y2 are the two y components given to us in those coordinates and similarly x1 and x2 are the two x components of the coordinates given. M is the slope that is also given.

Ok, so now the game plan is to plug-n-chug: m = 1/5 as given to us, x1 = -2, y1 = 4. x2 = r, and y2 = 5

so now lets plug into the point slope formula:

5 - 4 = 1/5(r - - 2)

1 = 1/5(r+2) simplify 5-4 to get 1 and r - - 2 to get r + 2 because a minus a minus is a plus

1 = r/5 + 2/5 distribute the 1/5 over

1-2/5 = r/5 subtract the 2/5 to help isolate the r

5/5 - 2/5 = r/5 set 1 = 5/5 to help with fraction math

3/5 = r/5

3 = r multiply by 5 to get r by itself

r = 3

Now you can do this another way mathematically:

5 - 4 = 1/5 (r -- 2)

1 = 1/5( r+2) simplified as before

5 = r + 2 multiply a 5 across to get rid of the 1/5

5 - 2 = r isolate r by subtracting 2

3 = r simplify

I wish I could give a better understanding. Mathematics is a very beautiful subject. Good luck.