To find the x-intercept, set y=0 y = 0 y=0 in the equation x−y=2 x - y = 2 x−y=2.
x−0=2 ⟹ x=2 x - 0 = 2 \implies x = 2 x−0=2⟹x=2
The x-intercept is (2,0) (2, 0) (2,0).
To find the y-intercept, set x=0 x = 0 x=0 in the equation x−y=2 x - y = 2 x−y=2.
0−y=2 ⟹ y=−2 0 - y = 2 \implies y = -2 0−y=2⟹y=−2
The y-intercept is (0,−2) (0, -2) (0,−2).
Rearrange the equation x−y=2 x - y = 2 x−y=2 to the form y=mx+b y = mx + b y=mx+b.
y=x−2 y = x - 2 y=x−2
The intercepts are (2,0) (2, 0) (2,0) and (0,−2) (0, -2) (0,−2). The equation in slope-intercept form is y=x−2 y = x - 2 y=x−2.
{"axisType": 3, "coordSystem": {"xmin": -3, "xmax": 3, "ymin": -3, "ymax": 3}, "commands": ["y = x - 2"], "latex_expressions": ["y=x−2y = x - 2y=x−2"]}
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