What are the intercepts of the line $x + y = 7$ $x+y=7$ ?

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Answer 1 · 2018-04-17T00:12:19

$(7, 0)$ $(7,0)$ and $(0, 7)$ $(0,7)$

Intercepts can be found by setting one variable to zero and the solving for the remaining variable.

Given:

$x + y = 7$ $x+y=7$

We solve for the $x$ $x$ -intercept by setting $y = 0$ $y=0$ .

$x + 0 = 7$ $x+0=7$

$\Rightarrow x = 7$ $=>x = 7$

We solve for the $y$ $y$ -intercept by setting $x = 0$ $x=0$ .

$0 + y = 7$ $0+y=7$

$\Rightarrow y = 7$ $=>y = 7$

Hence, we have intercepts at $x = 7$ $x=7$ , $y = 7$ $y=7$ .

Equivalently, the points are $(7, 0)$ $(7,0)$ and $(0, 7)$ $(0,7)$ .

What are the intercepts of the line x+y=7x+y=7x+y=7?