Two terms of an expression
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y = 3x + 1 y = 3x + 2 y = 3x + 3 y = 3x
y-3x-3 y=3x+3 A line with a slope of 3 crossing the y-axis at 3.
Slope=3, y-intercept=0. y=3x or y=3x+0
y = 3x-1 The y intercept is -1 y = 3x-11 The y intercept is -11
3x - y = -4 3x - y = 0 Those lines do not intersect. They are parallel. You can demonstrate by solving either of them for one of the two variables, then plugging it's value into the other: 3x - y = -4 ∴y = 3x + 4 Now substitute: 3x - y = 0 ∴ 3x - (3x + 4) = 0 ∴ 3x - 3x - 4 = 0 ∴ -4 = 0 This result is obviously incorrect, indicating that the lines do not intersect.