y=mx+c
I picked the points (0, -4) and (-2,-10) to find the gradient of the line
M= rise/run
= 6/2
=3
Y-intercept is at - 4
Y= 3x - 4 is equation of the line given
Reciprocal of 3 is 1/3
(m1 x m2 = - 1)
So, to make - 1, our second gradient should be negative.
Gradient of the perpendicular line will be - 1/3
Y= - 1/3x + c
Substitute value of x & y into the equation
(-6,6) means x = - 6, y = 6
y = - 1/3x +c
6 = - 1/3 x - 6 + c
6 = 2 + c
-2
4 = c
Thus, final equation we're after will be:
y= - 1/3x + 4
Hope this helps!
To solve this problem, we need to recognize that Harry's age is given as "n". We can use this value and the given information to write expressions representing each person's age.
For Example, Jo is 2 years older than Harry and Harry's age is represented by the variable n. This means that n (Harry's age) plus 2 would equal Jo's age. This can be represented by the expression: n +2.
Next, we know that Kate is twice as old as Jo, and Jo's age is represented by the expression n+2. This means that 2 times Jo's age would be equal to Kate's age, or Kate's age = 2(n+2) or 2n +4.
Therefore, your answer is that Jo's age is n + 2 and Kate's age is 2n + 4.
Hope this helps!
Option C: (0,125) is the y - intercept.
Explanation:
The given function is 
We need to determine the y - intercept.
<u>The value of y - intercept:</u>
The y - intercept is the value of y when x = 0
The y - intercept of the function can be determined by substituting x = 0 in the function.
Hence, let us substitute x = 0 in the function
, we have,

Simplifying the terms, we get;



Thus, the value of y is 125.
Hence, the y - intercept is 125.
Therefore, the coordinates of the y - intercept are (0,125)
Hence, Option C is the correct answer.