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Find the gradients of lines A and B

Find The Gradients Of Lines A And B class=

Sagot :

Step-by-step explanation:

[tex]the \: gradient \: of \: line \: a \: is[/tex]

[tex]m = \frac{4}{1 } \\ m = 4[/tex]

[tex]the \: gradient \: of \: line \: b \: is[/tex]

[tex]m = \frac{ - 2}{1} \\ m = - 2[/tex]

Gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].

What is gradients?

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

Formula used

Gradients [tex]= \frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

According to the question,

Given from the graph,

Coordinates of Line A

[tex](x_{1} ,y_{1} ) = ( 3,3)\\\\(x_{2} ,y_{2} ) = ( 4,7)[/tex]

Substitute the value in the formula we get,

Gradient of line A [tex]= \frac{7-3}{4-3}[/tex]

                              [tex]= 4[/tex]

Coordinates of Line B

[tex](x_{1} ,y_{1} ) = ( -1,3)\\\\(x_{2} ,y_{2} ) = ( -2,5)[/tex]

Gradient of line B [tex]= \frac{5-3}{-2-(-1)}[/tex]

                              [tex]= -2[/tex]

Hence, gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].

Learn more about gradients here

https://brainly.com/question/13020257

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