[tex] \textsf{1.) x - intercept of the line } [/tex]~
[tex] \textsf{- The value of x at which the line cuts/touches} [/tex][tex] \textsf{x - axis is known as x - intercept. } [/tex]
[tex] \textsf{For the given graph, x - intercept will be : } [/tex]
[tex]\qquad \sf \dashrightarrow \: - 1[/tex]
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[tex] \textsf{2.) y - intercept of the line } [/tex]~
[tex] \textsf{- The value of y at which the line cuts/touches} [/tex] [tex] \textsf{y - axis is known as y - intercept. } [/tex]
[tex]\qquad \sf \dashrightarrow \: 1[/tex]
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[tex] \textsf{3.) Slope (m) can be calculated using} [/tex] [tex] \textsf{coordinates of two points lying on the line,} [/tex][tex] \textsf{let's say (-1 , 0) and (0 , 1)} [/tex]
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Answer:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x \:-\: intercept= -1 [/tex]
[tex]\qquad \tt \rightarrow \:y\:-\: intercept= 1 [/tex]
[tex]\qquad \tt \rightarrow \:slope \:(m)= 1 [/tex]
[tex]\qquad \tt \rightarrow \: constant \:\; slope [/tex]
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[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{1.) x - intercept of the line } [/tex]~
[tex] \textsf{- The value of x at which the line cuts/touches} [/tex][tex] \textsf{x - axis is known as x - intercept. } [/tex]
[tex] \textsf{For the given graph, x - intercept will be : } [/tex]
[tex]\qquad \sf \dashrightarrow \: - 1[/tex]
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[tex] \textsf{2.) y - intercept of the line } [/tex]~
[tex] \textsf{- The value of y at which the line cuts/touches} [/tex] [tex] \textsf{y - axis is known as y - intercept. } [/tex]
[tex]\qquad \sf \dashrightarrow \: 1[/tex]
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[tex] \textsf{3.) Slope (m) can be calculated using} [/tex] [tex] \textsf{coordinates of two points lying on the line,} [/tex][tex] \textsf{let's say (-1 , 0) and (0 , 1)} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{1 - 0}{0 - ( - 1)} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{1 }{0 + 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = 1[/tex]
[tex] \textsf{So, it's slope is 1 } [/tex]
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[tex] \textsf{4.) Trend of slope } [/tex]~
[tex] \textsf{- The given graph is that of a straight line, } [/tex][tex] \textsf{so it has a constant slope. } [/tex]