SOLUTION:
To begin with, let's establish that the formula of this line is in slope-intercept form as follows:
y = mx
The formula for this line isn't:
y = mx + b
This is as this line doesn't have a y-intercept ( b ) as it passes through the origin instead. This means that ( b ) would be rendered useless in this formula as it would just bring us back to the y = mx formula as displayed below:
y = mx + b
y = mx + 0
y = mx
Moving on, for ( m ), we need to find the gradient of the line as displayed below:
m = gradient
m = rise / run
m = 10 / 2
m = 5
Now, we must simply substitue ( m ) into the formula in order to obtain the equation for this line as displayed below:
y = mx
y = 5x
Therefore, the answer is:
A. y = 5x
9 less than a number is <em><u>9 - n</u></em>
Where n is that number
Answer:
If you compare this to 
, then 
and 
.
Step-by-step explanation:
We are given 
and we are asked to find the value of 
.
So we will need to find 
.
Square both sides:
Expand using identity: 
.
Let's go back to the full .
If you compare this to , then and .
Answer:
(-2, 6)
Step-by-step explanation:
We can simply do this by plugging in all of the coordinates. (I did this in my head quickly, so I know what it is; I'm just going to plug in the correct answer.) The correct answer is (-2, 6), so we're just going to plug them into the simplest equation, which is probably y=-3x. So...
6=-3(-2)
6=6
This answer is correct. If you're unsure about the answer, you can always check in the other equation. So...
3(-2)+2(6)=6
-6+12=6
6=6
Hope this helps and have an amazing day ^^
Whiteboard full of trigonometric facts that you need to know...
