y=mx+b m = slope b = y-intercept slope = (y1-y2)/(x1-x2) slope = (2--6)/(3--2) slope = 8/5 2=(8/5)3+b 2=24/5+b 5/12=b y=8/5x+5/12
6x+8y = 12 8y = -6x+12 Divide all terms by 8:- y = -0.75x+1.5 which is now in slope intercept form
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It is most often expressed as a ratio of inches of rise per 12 inches of run. A roof slope that rises 4 inches for every 12 inches of run is a "4 in 12" slope, or 4/12 slope, or 4:12 slope.
Slope = coefficient of x = 8
8
Points: (4, 6) and (12, 3) Slope: -3/8
y=mx+b m = slope b = y-intercept slope = (y1-y2)/(x1-x2) slope = (2--6)/(3--2) slope = 8/5 2=(8/5)3+b 2=24/5+b 5/12=b y=8/5x+5/12
Because of snow 8/12 .
6x+8y = 12 8y = -6x+12 Divide all terms by 8:- y = -0.75x+1.5 which is now in slope intercept form
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Points: (4, 8) and (2, -2)Slope: 5Equation: y = 5x-12
Points: (12, 8) and (17, 16) Slope: 8/5 Equation: 5y = 8x-32
If that is 8x + 14 then the slope is 8. Or, written as a slope 8/1
The slope m' of a line perpendicular to a line with slope m is such that m'm = -1 → m' = -1/m A line with slope m' through point (X, Y) has equation: y - Y = m'(x - X) → The line perpendicular to 7x - 8y = 12 through p (-3, 1) is found: 7x - 8y = 12 → 8y = 7x - 12 → y = (7/8)x - 3/2 → The slope of 7x - 8y = 12 is m = 7/8 → The slope of the perpendicular line is m' = -1/m = -1/(7/8) = -8/7 → The line through P with this slope m' is: y - 1 = -8/7(x - -3) → y = (-8/7)x - 24/7 + 1 → y = (-8/7)x - 17/7 This can be rearranged into: y = (-8/7)x - 17/7 → 7y = -8x - 17 → 7y + 8x + 17 = 0
Slope, m, equals: (y2 - y1) / (x2 - x1). m = (1-(-2)) / (-4-8) m = 3 / -12 or m = - 1/4
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