How do you find the slope and intercept to graph $y = \frac{1}{2} x - 4$ $y=1/2x-4$ ?

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How do you find the slope and intercept to graph $y = \frac{1}{2} x - 4$ $y=1/2x-4$ ?

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Answer 1 · 2018-03-29T01:52:34

The slope of the line $y = \frac{1}{2} x - 4$ $y = 1/2x -4$ is $\frac{1}{2}$ $1/2$ , the y-intercept is $- 4$ $-4$ , and the x-intercept is $8$ $8$ .

Explanation:

When a linear equation is in the form $y = m x + b$ $y = mx + b$ , the slope is $m$ $m$ . In this case, the slope is the coefficient of $x$ $x$ which is $\frac{1}{2}$ $1/2$ .

To find the y-intercept, substitute $0$ $0$ for $x$ $x$ :
$y = \frac{1}{2} \cdot 0 - 4$ $y = 1/2*0 -4$
$y = - 4$ $y = -4$
The y-intercept is $- 4$ $-4$ .

To find the x-intercept, substitute $0$ $0$ for $y$ $y$ :
$0 = \frac{1}{2} x - 4$ $0 = 1/2x -4$
$\frac{1}{2} x = 4$ $1/2x = 4$
$x = 8$ $x = 8$
The x-intercept is $8$ $8$ .

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How do you find the slope and intercept to graph $y = \frac{1}{2} x - 4$ $y=1/2x-4$ ?

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