Question

Find the gradients of line a and b

Answer 1

Answer:

3 and - 4

Step-by-step explanation:

Calculate the gradients using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

Line A

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = $\frac{1+2}{1-0}$ = 3

Line B

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = $\frac{5-1}{0-1}$ = $\frac{4}{-1}$ = - 4