The linear equations for the given line with
1. Slope m = 1/2 and b = 0.75; y = 1/2x + 0.75
2. Slope m = 0 and passing through P(-2, -1); y + 1 = 0
The equation of the line with slope 'm' and y-intercept 'b' is
y = mx + b
The equation of the line with slope 'm' and passing through a point P(x1, y1) is
(y - y1) = m(x - x1)
1) A line described with m = 1/2 and b = 0.75:
The standard form of the line with a slope and intercept is
y = mx + b
On substituting,
y = (1/2)x + 0.75
⇒ y = 0.5x + 0.75
Thus, the linear equation in the standard form for the given line is
y = 0.5x + 0.75
2) A line described with m = 0; and passing through P(-2, -1):
The standard form of the line with a slope and passing through the point P(x1, y1) is
y - y1 = m(x - x1)
On substituting,
y - (-1) = 0(x - (-2))
⇒ y + 1 = 0
Thus, the linear equation in the standard form for the given line is
y +1 = 0
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