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Sagot :
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here's the solution ~
Let's find the gradient of the shown line, using coordinates of any two points on it, like I'm gonna use (0 , 2) and (1 , -1)
Use the following equation :
[tex]\qquad \sf \dashrightarrow \: gradient = \dfrac{y_2 - y_ 1}{x_2 - x_1} [/tex]
[tex]\qquad \sf \dashrightarrow \: g = \dfrac{2 - ( - 1)}{0 - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: g = \dfrac{2 + 1}{ - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: g = - 3[/tex]
Hence, the gradient = -3 for the given line ~
Gradient means slope
Take 2 points
- (2,-4)
- (0,2)
Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{2+4}{-2}[/tex]
[tex]\\ \rm\hookrightarrow m=-6/2[/tex]
[tex]\\ \rm\hookrightarrow m=-3[/tex]
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