Question

Find the gradients of lines A and B

Answer 1

Step-by-step explanation:

$the \: gradient \: of \: line \: a \: is$

$m = \frac{4}{1 } \\ m = 4$

$the \: gradient \: of \: line \: b \: is$

$m = \frac{ - 2}{1} \\ m = - 2$

Answer 2

Gradients of line A is equals to $4$ and gradients of line B is equals to $-2$.

What is gradients?

" Gradients is defined as the ratio of difference of y-coordinates  to the difference of x-coordinates."

Formula used

Gradients $= \frac{y_{2}- y_{1}}{x_{2}- x_{1}}$

According to the question,

Given from the graph,

Coordinates of Line A

$(x_{1} ,y_{1} ) = ( 3,3)\\\\(x_{2} ,y_{2} ) = ( 4,7)$

Substitute the value in the formula we get,

Gradient of line A $= \frac{7-3}{4-3}$

                              $= 4$

Coordinates of Line B

$(x_{1} ,y_{1} ) = ( -1,3)\\\\(x_{2} ,y_{2} ) = ( -2,5)$

Gradient of line B $= \frac{5-3}{-2-(-1)}$

                              $= -2$

Hence, gradients of line A is equals to $4$ and gradients of line B is equals to $-2$.

Learn more about gradients here

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