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First find the y-intercept value by substituing the slope and coordinates of the
given point in the equation.
y = mx + b (Slope-intercept form line equation)
1 = 3 + b (Substitute 3 for m, 1 for x, and 1 for y)
1 – 3 = 3 + b – 3 (Subtract 3 from each side)
1 – 3 = 3 – 3 + b (Apply Commutative property of addition: a + b = b + a)
1 – 3 = b (Apply additive inverse property: 3 – 3 = 0)
b = – 2 (Subtract: 1 – 3 = –2)
Now substitute m = 3 and b = – 2 slope-intercept form line equation.
y = 3x + (– 2)
y = 3x – 2 (Simplify)
The equation of the line that passes through the point (1, 1) and has a slope of 3 is
y = 3x – 2.
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