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Nick88888888
 one year ago
Find the equation in slopeintercept form of the line through points (2, 5) and (6, 15).
How would i do this? Do i use y = mx+b? or what im not sure how to do it
Nick88888888
 one year ago
Find the equation in slopeintercept form of the line through points (2, 5) and (6, 15). How would i do this? Do i use y = mx+b? or what im not sure how to do it

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There are 3 main formulas.. it helps to remember them, you'll keep running into them if you keep doing math all the way through to calculus. Slope intercept is y=mx+b Point Slope yy1=m(xx1) Slope m =(y1y2)/(x1x2) = (rise/run) = a difference between two points on the rise)/(a difference between two points in the run) This idea of differences between two points is going to keep repeating itself over and over again. And the the idea of the triangles that rise/run creates and the ratio and Tan of these relationships. So try to get a good visual idea of that relationship as you practice this stuff, and all this math is going to get intuitive and a lot easier. Think of Slope Intercept as the one that anchors itself on the yintercept.. The value for b is going to be the actual yintercept. But because you can't know this value for the yintercept from that information, you need to use the other equations here, and convert them into slope intercept. So .. 1. Use Slope formula to work out a value for m, by converting the two points into rise/run. 2. Plug that value for m into your point slope formula then solve for y when x=0 3. This will give you a value for b that you can now plug into your slope intercept formula.

Nick88888888
 one year ago
Best ResponseYou've already chosen the best response.0(2,5) and (6, 15) First find slope. (m) (y2y1)/(x2x1) x2 x1 = 6  (2) so it becomes 6 + 2 m=(155)/(6+2) m=20/8 is the slope now replace x and y terms (y = mx+b) 5=20/8*2+b? 5=40/8+b 5+40/8=b (40+40)/8=b 80/8=b the y intercept Thus equation being y=20x/8+80/8?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and slope formula gives you the value for m

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the 2nd stage you plug the values into the point slope equation .. so

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can use either point for point slope.. so (2,5) into x1= 2 y2= 5 yy1 = m(xx1)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0which you can convert quickly into a very similar equation to point slope. y = m(xx1) + y1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So next we solve for y with x=0 so the equation becomes.. y = m(0x1)+ y1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Given x1 = 2 y1 = 5 x2 =6 y2 =15 Using slope equation plug in your points m = y1  y2 / x1  x2 m = 5(15) / 2  6 m=20/8 m=5/2 Using point slope, Solve for y when x =0 y  y1 = m(xx1) y = m(xx1)+y1 rearrange it x = 0 substitute and simplify y = (5/2)(0(2)+5 y = (5/2)(0+2)+5 y = (5/2)(2)+5 y = (10/2)+5 y = (5/1)+5 y = 5+5 y = 0 From here you just take the slope intercept formula y=mx+b and plug in your values for m and b You know m from the slope formula result Slope intercept gets it's name because it describes the line from where x=0, at the yintercept. Note that at this point y=b, and so now you now the value for b too.
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