So I changed the question the textbook gave me to (-4,0) (0, 5/2).
The question asked me what is the gradient for the X and Y.I was doing the question without a calculator and the answer I got was 8/5.
But when I checked the calculator, it shows up 5/8 for me?
On how I got 8/5 manually was when I'm left with 5/2 over 4(not 5/2/4).So I changed the question from 5/2 over 4 to 2/5 times 4.The reason why I did this is because I remembered if a fraction divides with a number, all you need to do is flip the denominator and the numerator and times only the updated numerator with 4.Thus, 8/5.
But the 5/8 the calculator gave me was derived by me pressing 5/2 divide 4.
So which one is the right answer? The 8/5 that I got manually or the 5/8 that I got through using the calculator.Can someone also elucidate on why you think the answer you chose is correct?
$\frac{a}{b}$ ÷ $\frac{c}{d}$
= $\frac{a}{b} *\frac{d}{c}$
Where $\frac{d}{c}$ is known as the reciprocal of $\frac{c}{d}$
So $\frac{\frac{5}{2} -0}{0-(-4)} = \frac{\frac{5}{2}}{4} =\frac{5}{2} ÷ \frac{4}{1} = \frac{5}{2} * \frac{1}{4} = \frac{5}{8}$
So your error was that you "flipped" the fraction you were dividing, rather than "flipping" the number you divided by.