color(blue)("Determine "y_("intercept"))Determine yintercept
The y-axis crosses the x-axis at x=0x=0 so to find the y-intercept substitute x=0x=0 into the equation
color(brown)(3x-y=5)color(blue)(" "->" "3(0)-y=53x−y=5 → 3(0)−y=5
But 3xx0=03×0=0 giving
-y=5−y=5
Multiply both sides by (-1)(−1)
(-y)xx(-1)=5xx(-1)(−y)×(−1)=5×(−1)
y=-5y=−5
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color(blue)("Determine "x_("intercept"))Determine xintercept
The x-axis crosses the y-axis at y=0y=0 so to find the x-intercept substitute y=0y=0 into the equation
color(brown)(3x-y=5)color(blue)(" "->" "3x-0=53x−y=5 → 3x−0=5
color(brown)(3x=5)3x=5
Divide both sides by color(blue)(3)3
color(brown)(3/(color(blue)(3)) xx x=5/(color(blue)(3))33×x=53
But 3/3=133=1
x=5/3x=53
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color(brown)(3x-y=5)" "->" "color(blue)(y=3x-5)3x−y=5 → y=3x−5