Answer:
- 2/5
Explanation:
Data obtained from the question include
x1 (x coordinate 1)= 5c
x2 (x coordinate 2) = 8
Δx (change in x coordinate) = x2 - x1 = 8 - 5c
y1 (y coordinate 1) = 10
y2 (coordinate 2) = 40
Δy (change in y coordinate) = y2 - y1 = 40 - 10 = 30
m (gradient) = 3
The gradient is also called the slope and it is represented mathematically as:
Gradient = (change in y coordinate)/(change in x coordinate)
M = Δy/Δx
3 = 30/ 8 - 5c
Cross multiply to express in linear form as shown below:
3(8 - 5c) = 30
Clear the bracket
24 - 15c = 30
Collect like terms
- 15c = 30 - 24
- 15c = 6
Divide both side by - 15
c = 6/-15
c = - 2/5
Therefore, the value of c is - 2/5
