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What is the slope of a line that contains the points (-6-4) and (-24)?
If you mean points of (-6, -4) and (-2, 4) then the slope is 2
What is the slope of -24 and -612?
588
What is the slope of a line passing through (24) and (42)?
If you mean points of (2, 4) and (4, 2) then the slope is -1
How do you find the slope of a ski run that descends 15ft for every horizontal change of 24 ft?
The slope is -15/24 = -5/8
Write in slope-intercept form the equation of the line through each pair of points 22 0 0 and -2 3?
We want a line that passes through the points (22,0) and (-2,3)The general formula for a line is y = mx +bWhere M is our slope, and B is the y-intercept.We don't know either, so we have to use the points given to figure out 1) the slope 2) the y intercept.You can find slope by using the slope formuladifference in y's divided by the difference in x's(22,0) is (x,y) and (-2,3) is also (x,y)(0 - 3)/(22 - (-2))-3/24 = -1/8Our slope is -1/8.Now we plug m = -1/8 into the general formula y = mx +b.We also pick ONE set of points, and plug that in for x and y. (it's easier to pick smaller numbers)y = mx + b3 = (-1/8)(-2) + bNow we solve for b.3 = 1/4 + b3 - 1/4 = b12/4 - 1/4 = b (I changed 3 to a fraction to work with -1/4)11/4 = b(or 2 and 3/4)Now we know both the slope, m = -1/8 and the y-intercept, b = 11/4.We just put these into the general form of a line and we have our equation.y = mx + by = -1/8x +11/4
