What are the intercepts of the line $y = \frac{1}{2} x - 3$ $y = 1/2x-3$ ?

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What are the intercepts of the line $y = \frac{1}{2} x - 3$ $y = 1/2x-3$ ?

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Answer 1 · 2015-09-28T12:44:56

x-intercept $= 6$ $= 6$
y-intercept $= - 3$ $=-3$

Explanation:

The x-intercept is the point where the graph crosses the X-axis; for all point on the X-axis, $y = 0$ $y=0$
Substituting $0$ $0$ for $y$ $y$ in $y = \frac{1}{2} x - 3$ $y =1/2x-3$
we get
$XXX 0 = \frac{1}{2} x - 3$ $color(white)("XXX")0=1/2x-3$

$\to XXX \frac{1}{2} x = 3$ $rarrcolor(white)("XXX")1/2x = 3$

$\to XXX x = 6$ $rarrcolor(white)("XXX")x=6$

Similarly, the y-intercept is the point where the graph crosses the Y-axis; and for all point on the Y-axi, $x = 0$ $x=0$
Substituting $0$ $0$ for $x$ $x$ in $y = \frac{1}{2} x - 3$ $y=1/2x-3$
we get
$XXX y = \frac{1}{2} \cdot (0) - 3$ $color(white)("XXX")y =1/2*(0) -3$

$\to XXX y = - 3$ $rarrcolor(white)("XXX")y=-3$

Answer 2 · 2015-09-28T12:47:08

You set $x$ $x$ and $y$ $y$ to $= 0$ $=0$ in turn

Explanation:

$y$ $y$ -intercept is when $x = 0$ $x=0$
Then $y = - 3 \to (0, - 3)$ $y=-3->(0,-3)$

$x$ $x$ -intercept is when $y = 0$ $y=0$
$\frac{1}{2} x - 3 = 0 \to \frac{1}{2} x = 3 \to x = 6 \to (6, 0)$ $1/2 x-3=0->1/2 x=3->x=6->(6,0)$
graph{0.5x-3 [-6.92, 13.08, -5.76, 4.24]}

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What are the intercepts of the line $y = \frac{1}{2} x - 3$ $y = 1/2x-3$ ?

2 Answers

Explanation:

Explanation:

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What are the intercepts of the line $y = \frac{1}{2} x - 3$ $y = 1/2x-3$ ?