# Find the gradients of lines A and B. B YA 14 112 8 6 4 2 -3 -2 -12 Х $ od

1 answer

###### Question:

Find the gradients of lines A and B.

B

YA

14

112

8

6

4

2

-3 -2 -12

Х

$

od

B

YA

14

112

8

6

4

2

-3 -2 -12

Х

$

od

## Answers

Answer:Gradient of line A = 4Gradient of line B = -2Step-by-step explanation:To solve this question, we will use the formula for gradient passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],Gradient (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]For line A,Since, line A passes through (3, 6) and (4, 10)Gradient of line A = [tex]\frac{10-6}{4-3}[/tex] = 4For line B,Since, line B passes through (1, 6) and (2, 4),Gradient of line B = [tex]\frac{6-4}{1-2}[/tex] = -2

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