On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile?
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A reflection over the line y=x implies exchanging the x and y coordinates of a point. For example if you take a generic point (a,b) then its reflection over y=x is (b,a). Our point is (-1,3) so its reflection over y=x is the point (3,-1).
Then we have to translate it two units left. Translating a point left means that we are moving towards negative x values so we need to substract 2 from the x coordinate:
Finally we have to translate it 1 unit up towards positive y values so we have to add 1 to its y coordinate:
And these are the final coordinates. In the following picture you have the points you get after each step (from A to D) with the y=x line in blue:
Answer:
The equivalent equation is
Step-by-step explanation:
p is given by the following relation:
And we are given the following equation:
On the right side, we can simplify. So
Replacing by p, the equation is: