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

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Answer 1 · 2017-10-31T23:55:29

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

y-intercept: $(0, \frac{6}{5})$ $(0,6/5)$

Given:

$5 y = x + 6$ $5y=x+6$

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

$5 (0) = x + 6$ $5(0)=x+6$

$0 = x + 6$ $0=x+6$

Subtract $6$ $6$ from both sides.

$- 6 = x$ $-6=x$

Switch sides.

$x = - 6$ $x=-6$

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

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

$5 y = x + 6$ $5y=x+6$

$5 y = 0 + 6$ $5y=0+6$

$5 y = 6$ $5y=6$

Divide both sides by $5$ $5$ .

$y = \frac{6}{5}$ $y=6/5$

y-intercept: $(0, \frac{6}{5})$ $(0,6/5)$

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