How do you find the x and y intercept of $3x − y = 5$ ?

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Answer 1 · 2016-07-07T16:30:45

$x_("intercept")=5/3$

$y_("intercept")=-5$

$color(blue)("Determine "y_("intercept"))$

The y-axis crosses the x-axis at $x=0$ so to find the y-intercept substitute $x=0$ into the equation

$color(brown)(3x-y=5)color(blue)(" "->" "3(0)-y=5$

But $3xx0=0$ giving

$-y=5$

Multiply both sides by $(-1)$

$(-y)xx(-1)=5xx(-1)$

$y=-5$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$color(blue)("Determine "x_("intercept"))$

The x-axis crosses the y-axis at $y=0$ so to find the x-intercept substitute $y=0$ into the equation

$color(brown)(3x-y=5)color(blue)(" "->" "3x-0=5$

$color(brown)(3x=5)$

Divide both sides by $color(blue)(3)$

$color(brown)(3/(color(blue)(3)) xx x=5/(color(blue)(3))$

But $3/3=1$

$x=5/3$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$color(brown)(3x-y=5)" "->" "color(blue)(y=3x-5)$
Tony B Tony B

How do you find the x and y intercept of 3x − y = 5 3x − y = 5 ?