Yes because you see the answer and kind of estimate how big the answer with be or how small.
so basically for this problem you're just going to plug in the point (3,-3) into every equation, keeping in mind that the 3 is the x value and that the -3 is the y value. once you plug it in you can just use order of operations (pemdas) to solve.
the equations that do work with the point (3,-3) are (2x+4y=-6)
(2x-3y=15)
(8x+3y=15)
(7x-2y=-24)
Step-by-step explanation:
so to work one of these problems you take (2x+4y=-6) and plug in your variables.
2(3)+4(-3)=-6
then you're going to multiply
6-12=-6
the subtract the negative twelve from the 6
-6=-6
so we get a true statement. if you do this and the two numbers don't match then the equation does not work with your point. I hope this helps!
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of that line. Basically, the slopes of two perpendicular lines multiply to -1. The slope of this line is -1/5. To find the slope of a line perpendicular, we need to find out what number, multiplied by -1/5, would make -1. Or, we can take the opposite reciprocal (it's the same answer). This number is 5, so the slope of a line perpendicular to this line is 5.
Answer:
your answers are correct
the first graph isgeometric
the second graph is arithmeit
