Answer:
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
The product of the gradients of perpendicular lines is -1.
Gradient of given line= 3.
(Gradient of line)(3)= -1
3m= -1
m= 
subst. m= into the equation:
To find the value of c, substitute a coordinate.
When x=0, y=4,
Thus the equation of the line is 
.
Answer:
4x-8
Step-by-step explanation:
3/4(4x-8)+1/4(4x-8)
12/4x-24/4+4/4x-8/4
3x-6+x-2
3x+x-6-2
4x-8
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
Answer:
- The hikers carried 17.5 litres of water
- The Koshy family travled 34.5 km while visiting Delhi
Step-by-step explanation:
1-
Multiply 1.75 liters by 10 (the number of days there were hiking) : 17.5 litres
2-
Multiply 11.5 km by 3 (the number of days visiting Delhi) : 34.5 km
Sum means we are adding. 1 + y has to be greater than or equal to 5, therefore,
