Question

The equation of the line in the graph is y = (blank) x+ (blank)

Answer 1

`\quad \huge \quad \quad \boxed{ \tt \:Answer }`

`\qquad \tt \rightarrow \: y=-x-1`

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`\large \tt Solution \: :`

Taking two points : (-1 , 0) and (0 , -1)

`\textsf{Calculate slope (m)}`

`\qquad \tt \rightarrow \: m = \cfrac{rise}{run}`

`\qquad \tt \rightarrow \: m = \cfrac{y_2 - y_1}{x_2 - x_1}`

`\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 1)}{ - 1 - 0}`

`\qquad \tt \rightarrow \: m = \cfrac{0 + 1}{ - 1}`

`\qquad \tt \rightarrow \: m = - 1`

`\textsf{Y - intercept (c) of graph = -1 }`

Equation of line in slope - intercept form :

`\qquad \tt \rightarrow \: y = mx + c`

`\qquad \tt \rightarrow \: y = - x - 1`

Answered by : ❝ AǫᴜᴀWɪᴢ ❞