Question

Find tge equation of the line

Answer 1

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!