5

Find the image of the point $(3,8)$ in the line $x+3 y=7$....

Question

Find the image of the point $(3,8)$ in the line $x+3 y=7$.

Find the image of the point $(3,8)$ in the line $x+3 y=7$.



Answers

Find the distance between the point and the line.
Point $\quad$ Line
$(1,-3) \quad 4 x-3 y=-7$

We need to find out the slope off a line that passes through the point tree comma. Eight on seven come out when you for any given two points. The slope off the line is given by the formula, and music went viral to minus 51 divided by ex too minus extra. Let the first point B X one go My wife and the second point B X to come away Substitute the value in the forms out when we get when you do minus eight. Divided by seven minus tree after certification will get seven Badger, was it? Answer. Does the slope off the line s, um seven by two.

So first let's calculate that slope Here you comes to a two miners for over sour my no street So here you can see for over four Yukos one that it's our smoke I'm here So now we're light. Why my nose? 80. Call to the slope. Time, times my note seven. So why you kill two acts last one?

We're going to find the slope of the line that passes through these two points, and we can use our slope formula. Let's say the first point is X one y one and the second point is X to y two. It could be the other way around. It wouldn't matter. We would still get the same answer. So the slope is going to be the change in Why? Why? To minus y one. That would be seven minus eight over the change in X X two, minus X one. That would be seven minus three. Simplify that and we get negative 1/4, so this lobe is negative 1/4.

To find the slope of the line that contains these points. We can use the formula slope equals y tu minus y one over x two minus X one. And we can let her first point d x one y one and our second point e x two y two or we could switch them. It won't matter. So for the slope, why to minus y one is five minus two. Next two minus X one is native seven minus three. And so we get three over negative 10 and we could write that as negative three tents.


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