How do you find the x and y intercept of $5y = x + 6$ ?

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Answer 1 · 2017-10-31T23:55:29

x-intercept: $(-6,0)$

y-intercept: $(0,6/5)$

Given:

$5y=x+6$

The x-intercept is the value for $x$ when $y=0$ .

$5(0)=x+6$

$0=x+6$

Subtract $6$ from both sides.

$-6=x$

Switch sides.

$x=-6$

x-intercept: $(-6,0)$

The y-intercept is the value of $y$ when $x=0$ .

$5y=x+6$

$5y=0+6$

$5y=6$

Divide both sides by $5$ .

$y=6/5$

y-intercept: $(0,6/5)$

How do you find the x and y intercept of 5y = x + 65y = x + 6?