I was doing my calc hw and I was lost. But watching this video really helped. I appreciate how you showed all the steps and explained your work. Thanks a lot!
Why is it that we take the equation of the right side of the Triangle? Would the answer be different if we took the equation of the left side of the triangle?
We need to find the equation of the line on the right. It has a negative slope and a positive y-intercept. Once we find the point that is labeled B, we can get the slope and the intercept for the line. At the 3:08 timestamp we use the Pythagorean theorem to find out B has coordinates (0,1). This makes the slope equal to -1 (from B to A we go down 1 and over 1) and this gives the y-intercept of 1. If we use y = mx+b, we then have all points y on the line must obey the equation y = -x + 1. This is the critical step in the entire problem. It turns a multivariable problem into a single-variable problem. Now everything is in terms of x. I hope this helps.
seems so simple and straight forward! easy as hell, anyone can do it! until the answer you get doing it this way is wrong
(. _ .)
I was doing my calc hw and I was lost. But watching this video really helped. I appreciate how you showed all the steps and explained your work. Thanks a lot!
Still Helpful after many years
Why is it that we take the equation of the right side of the Triangle? Would the answer be different if we took the equation of the left side of the triangle?
Great question! Yes, it would be the same answer. I just chose the first quadrant because that where the point P was placed.
@@NakiaRimmer So if we used the triangle’s left side’s equations instead, the value of X would have been negative right?
@@milkshake2226 Yes! The slope of the line would be positive and everything should work out fine.
But from where does that value of y comes???
We need to find the equation of the line on the right. It has a negative slope and a positive y-intercept. Once we find the point that is labeled B, we can get the slope and the intercept for the line. At the 3:08 timestamp we use the Pythagorean theorem to find out B has coordinates (0,1). This makes the slope equal to -1 (from B to A we go down 1 and over 1) and this gives the y-intercept of 1. If we use y = mx+b, we then have all points y on the line must obey the equation y = -x + 1. This is the critical step in the entire problem. It turns a multivariable problem into a single-variable problem. Now everything is in terms of x. I hope this helps.
Sadly my "teacher" will not allow use to do it this way... must be done his way in a certain form. thanks tho.
omg !!! I'm so glad i finally found this video!! I been having problems with this since....Oooff! Thank you so much