Answer:
y = -2x + 9 or y = 9 - 2x
Step-by-step explanation:
First find the gradient
- Pick two points on the graph, (4, 1) and (1,7)
- Find the change in y (7 - 1 = 6)
- Find the change in x (1 - 4 = -3)
- Divide the change in y by the change in x = 6 ÷ -3 = -2
- The gradient is -2: y = -2x + c
Next, look at where the line intercepts (goes through) the y-axis: 9
The equation of the line is y = -2x + 9
Tip: The gradient is negative because the line is going downwards from left to right; if the line was going upwards, the gradient would be positive.
Hope this helps!
