Hi:) why is the gradient of vertical lines undefined?
1 answer:
Answer:
The gradient of a line is given by .
Any 2 points of a vertical line would have the same x-coordinate. Thus when you simplify the denominator, you would end up with a zero. If you enter that into your calculator, no matter what you numerator is, you would get a Math error. This is because you cannot possibly divide a number by zero. Thus, the gradient is undefined.
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Answer:
Step-by-step explanation:
Let's take one of the equations and solve for x. I'll take the first one.
Divide by 13.
Now replace x in the second equation.
Distribute -8
Break down the fraction.
Subtract
Subtract 6y
Combine like terms;
Solve;
Keep solving;
Multiply by the negative reciprocal of the fraction next to y.
On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10
After having found y, replace it in any of the equations to find x.