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Question #f7c1b

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Answer 1 · 2017-10-18T02:49:47

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Explanation:

The graphical concept of x- and y-intercepts is pretty simple. The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

$y = - 4 + 2 \cdot x$ $y = -4 +2*x$
$\Rightarrow 2 \cdot x + (- 1) \cdot y = 4$ $=> 2*x +(-1)*y =4$
$\Rightarrow \frac{x}{2} + (- \frac{1}{4}) \cdot y = 1$ $=> x/2 +(-1/4)*y = 1$
Which is in the form $\frac{x}{a} + \frac{y}{b} = 1$ $x/a+y/b =1$
Hence, X intercept of the line is 2 unit

Alternative Solution

As said before,The x-intercepts are where the graph crosses the x-axis. Now where the graph crosses or interest X axis , the Y co-ordinate of the point is "zero"
So, we can find the X intercept by putting $Y = 0$ $Y =0$ In the equation.

$y = - 4 + 2 \cdot x$ $y = -4 +2*x$
$\Rightarrow 2 \cdot x - 4 = 0$ $=> 2*x -4 =0$
$\Rightarrow x = \frac{4}{2} = 2$ $=> x = 4/2 = 2$

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