SOLUTION: 1) calculate the gradient of the line joining the following pairs of points : (3,1) (5,4) 2) calculate the gradient and y-intercept of the given straight lines. 3x-2y=8

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Question 655269: 1) calculate the gradient of the line joining the following pairs of points :
(3,1) (5,4)
2) calculate the gradient and y-intercept of the given straight lines.
3x-2y=8
thanks to you a lot.

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
1) calculate the gradient of the line joining the following pairs of points :
(3,1) (5,4)
"Gradient" is slope.
Slope between any two points is:
(y2-y1)/(x2-x1)
(4-1)/(5-3)
3/2
.
2) calculate the gradient and y-intercept of the given straight lines.
3x-2y=8
put the given expression into "slope-intercept" form of a line:
y = mx + b
.
3x-2y=8
-2y=-3x+8
2y=3x-8
y=(3/2)x-4
.
slope is 3/2 (gradient)
y-intercept is -4

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