1. What is the equation of a line that is parallel to −3x+4y=4 and passes through the point (4, 0) ?
2. In △ABC, the coordinates of vertices A and B are A(1,−1) and B(3,2).
For each of the given coordinates of vertex C, is △ABC a right triangle?
Select Right Triangle or Not a Right Triangle for each set of coordinates.
3.
4.
1)
−3x+4y=4y=34x+1slope=34now we construct a line with slope 34 passing through (4,0)using point slope form(y−0)=34(x−4)y=34x−3−3x+4y=−12
2)
I guess the easiest way to do this is check the Pythagorean theorem for a right triangle.
For each value of c find the length squared of each of the 3 sides of the triangle and sort them.
Then if the triangle is a right triangle the sum of the two smaller squared sides will equal
the largest squared side.
I'm going to let you slog through the arithmetic. I suggest using a spreadsheet or something.