Carol Gates

2021-02-09

Find the x-and y-intercepts of the graph of the equation algebraically.
$y=5-\left(6-x\right)$

### Answer & Explanation

SchepperJ

Calculation:
Consider, the equation, $y=5-\left(6—x\right)$
Put to calculate the x-intercept $y=0$
$0=5-\left(6-x\right)$
Upon removing the bracket, multiplying by -1 yields,
$0=5-6+x$
$0=-1+x$
$x=1$
So, the x-intercept is (1,0).
To compute y-intercept, put $x=0$
$y=5-\left(6-0\right)$
$y=5-6$
$y=-1$
So, the y -intercept is (0, -1).
Hence, the x and y -intercepts of $y=5-\left(6-x\right)$ are (1,0) and (0,-1),respectively.

Jeffrey Jordon