<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>
In order to find this, you have to find both the top and the bottom volumes and add them together. To find the bottom volume you’d use the formula lwh or Length*width*height. First you’d substitute in the numbers for the formula and get 9yd*8yd*4yd and get 288yd cubed. Then to find the top one you use the same formula and use 4yd*3yd*2yd and get 24yd cubed. Finally you add the two volumes together and get 288yd cubed + 24yd cubed=312yd cubed
To create the perpendicular of a given slope, you use the negative of the slope's reciprocal.
The negative reciprocal of 3 is -1/3.
Therefore, the new slope would be -1/3.
Answer:
8 (5 + 3)
Step-by-step explanation:
GCF is 8. Just factor 8 out of both numbers and voila