<span>Re-arrange the equation 4y - 3x = 8 in the form y = mx + c<span>y = 3/4x +2</span></span>
The gradient is 3/4
Now we need to work out the gradient of the 2nd line. Remember that when 2 lines are perpendicular the product of their gradients is -1. Let's call the gradient of the second line m.
<span><span>3/4m = -1</span><span>m = -4/3</span></span>
In the question we are told that the line passes through the point (0, 2). This means that the line crosses the y axis at +2.
So the equation of the line that is perpendicular to 4y - 3x = 8 is y = - 4/3x + 2
Finding the gradient of a line between two points
To find the gradient of a line we need to know how many it goes up, for every one across.
Example
Find the gradient of the line joining (1,3) to (4,9).
As we go from (1,3) to (4,9) the y value increases by 6, and the x value increases by 3. So the line goes 6 up for 3 across. So this line has a gradient of 6/3 = 2.
Use this technique to answer the following question:
<span>QuestionLine A goes through the points (4, 9) and (1, 3). Find the perpendicular line through the point (2, 0).</span>
Answer:
If side AB is equal to 11 then side AC will also be 11 because angle B and angle C are equal and sides opposite to the equal angles are also equal.
We are given that Peter buys 12 bunches of bananas for 9.00.
We need to determine how much peter will pay for 8 bunches.
Let us set up proportion now.
12 bunches of bananas for 9.00 = 12 : 9
Let us assume Peter will pay for 8 bunches = $x.
Therefore, 8 bunches of bananas for x = 8 : x.
<h3>Setting up proportion:</h3><h3>
</h3>
On cross-multiplying, we get
12x = 9×8
12x = 72.
Dividing both sides by 12, we get
x=6.
<h3>Therefore, Peter will pay $6 for 8 bunches.</h3>
ANSWER: THE SOLUTION OF GIVEN INEQUALITIES IS ALL REAL NUMBER EXCEPT [1.167,3.5].
One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.