Which of the following equations could represent the linear equation as represented in the graph?

y = - 2 x - 1

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y = - 2 x + 1

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y = 2 x - 1

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y = 2 x + 1

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Solution

The correct option is C $y = 2 x - 1$
From the graph, it is clear that the line passes through point $(0, - 1)$ and $(\frac{1}{2}, 0)$ .
Using two point form for equation of line, we get
$\frac{x - 0}{0 - \frac{1}{2}} = \frac{y + 1}{- 1 - 0}$
So, $- 2 x = - y - 1$
So, $y = 2 x - 1$

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Which of the following equations could represent the linear equation as represented in the graph?

The correct option is C y=2x−1From the graph, it is clear that the line passes through point (0,−1) and (12,0).Using two point form for equation of line, we getx−00−12=y+1−1−0So, −2x=−y−1So, y=2x−1

The correct option is C $y = 2 x - 1$
From the graph, it is clear that the line passes through point $(0, - 1)$ and $(\frac{1}{2}, 0)$ .
Using two point form for equation of line, we get
$\frac{x - 0}{0 - \frac{1}{2}} = \frac{y + 1}{- 1 - 0}$
So, $- 2 x = - y - 1$
So, $y = 2 x - 1$