📐 Gradient Of A Straight Line

📐 MATH PROMPT — GRADE 8 (CBC KENYA)

The Equation

y =

1

3

x + 7

Question

What is the gradient of this line?

📊 Full Diagram

↑ y-axis | 10| | 9| | 8| | / 7|-----------------------------------● (0, 7) | / 6| / | / 5| / | / 4| / | / 3| / | / 2| / | / 1| / | / 0+----+----+----+----+----+----+----+----→ x-axis -28 -21 -14 -7 0 7 14 21 28 ↑ (-21, 0)

🔍 Understanding the Diagram

Point	Coordinates	Meaning
● (top)	(0, 7)	Where the line meets the y-axis (y-intercept)
● (bottom)	(-21, 0)	Where the line meets the x-axis (x-intercept)

📐 Finding the Gradient

From the equation:

y =

1

3

x + 7

The number multiplying x is:

1

3

That is the gradient.

✅ Answer

Gradient =

1

3

This means: for every 3 steps right, the line goes 1 step up.