y=mx+b
(b is the y-intercept, and m is the slope)
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X + Y = 4. The standard form of a linear equation that makes the slope and Y-intercept obvious is: Y = (slope)X + (intercept). Re-arrange the given equation: Y = -X + 4 It's now in the standard form, and we can directly see that: Slope = -1 and Y-intercept = 4
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4x + 2y = -8 → 2y = -4x - 8 → y = -2x - 4
Lizzy's tiling progress can be modeled by a linear equation in slope-intercept form, y = mx + b, where y represents the number of tiles placed and x represents the number of days. By using the points (1, 6) and (4, 36), we can calculate the slope (m) as (36-6)/(4-1) = 30/3 = 10. Substituting one of the points into the equation, we can solve for the y-intercept (b) as 6 = 10(1) + b, giving b = -4. Therefore, the equation representing Lizzy's progress is y = 10x - 4.
Slope :)