# Find the x-and y-intercepts of the graph of the equation algebraically. y=-5x+6

Find the x-and y-intercepts of the graph of the equation algebraically.
$y=-5x+6$
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Calculation:
Consider, the equation,
$y=-5x+6$
To determine x-intercept, substitute $y=0$ in the above equation,
$0=-5x+6$
$5x=6$
$x=\frac{6}{5}$
Therefore, the x-intercept is $\left(\frac{6}{5},0\right)$.
To determine y -intercept, substitute $x=0$ in the equation, $y=-5x+6$,
$y=-5×0+6=6$
Therefore, y-intercept is $\left(0,6\right)$.
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