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Find the slopes of lines $P Q$ and $P R$ and determine whether the points $P, Q,$ and $R$ lie on the same line. (Hint: Two lines with the same slope and a point in ...

Question

Find the slopes of lines $P Q$ and $P R$ and determine whether the points $P, Q,$ and $R$ lie on the same line. (Hint: Two lines with the same slope and a point in common must be the same line.)$$P(-10,-13), Q(-8,-10), R(-12,-16)$$

Find the slopes of lines $P Q$ and $P R$ and determine whether the points $P, Q,$ and $R$ lie on the same line. (Hint: Two lines with the same slope and a point in common must be the same line.) $$P(-10,-13), Q(-8,-10), R(-12,-16)$$



Answers

Find the slopes of lines $P Q$ and $P R$ and determine whether the points $P, Q,$ and $R$ lie on the same line. (Hint: Two lines with the same slope and a point in common must be the same line.) $$P(-10,-13), Q(-8,-10), R(-12,-16)$$

Okay, we know if we're looking at P. Q. We have six months, five over negative. Eight plus five is one of the negative three negative. 1/3 you are five minutes to overnight of five, minus 43 over negative 9 1/3 And they're both negative, as you can see, because I'm one equals M too. Yes, P Q and R or indeed, Colin here.

We have the points peeing Q and R and ex Essentially, the question work we can just consider to be ex. Okay, slope of A and B. Why two Must y want over ext. Humanise X one gives us equivalent to I'm basically just cross multiplying over here equals humans acts writing this in terms of X ray exits in terms of the unknown question marker x Q minus M times P minus R.

Slope of the line. It is changing. Why over change in X so changing. Why is zero minus two change in axe would be negative 10 minus two. That gives us negative to over negative 12 which can be simplified as 1/6.

Find a slope of a line through any two points. We do. The change in the UAE values three months to over the change in the X values three minus one. So that would give us 1/2 and that's our slope 1/2.


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