+0  
 
0
721
1
avatar
 minutes x  100  200  300  400  500

 costs of plan, y

 14  20  26  32  38

Fingue out the following below:

 

Two ordered pairs:

Slope:

Find b:

Equation:

 

 

 

 

 

 

 

 

Thx

 May 20, 2015

Best Answer 

 #1
avatar+980 
+5
 minutes x  100  200  300  400  500

 costs of plan, y

 14  20  26  32  38

Fingue out the following below:

 

Two ordered pairs: I'm assuming this means  (100, 14) and (200, 20) although I am not sure. 

 

Slope: Also called the gradient, or m, the slope is how much y increases in relation to x, in the form rise/run. In these two points; x increases by 100, and y increases by 6. So the slope is 6/100, or 3/50.

m = 3/50

 

Find b: b is the y intercept, which can be found when x = 0. If y goes down by 6 every time x decreases by 100 then the y-intercept has to be 8, according to the point (100, 14).

b = 8

 

Equation: y = mx + b is the slope-intercept form.

By substituting our values:

y = 3/50 x + 8

 

Lets check this for point (300, 26)

 

26 = 3/50 * 300 +8

26 = 900/50 + 8

18 = 900/50

18 = 18

 

yay :)

 May 20, 2015
 #1
avatar+980 
+5
Best Answer
 minutes x  100  200  300  400  500

 costs of plan, y

 14  20  26  32  38

Fingue out the following below:

 

Two ordered pairs: I'm assuming this means  (100, 14) and (200, 20) although I am not sure. 

 

Slope: Also called the gradient, or m, the slope is how much y increases in relation to x, in the form rise/run. In these two points; x increases by 100, and y increases by 6. So the slope is 6/100, or 3/50.

m = 3/50

 

Find b: b is the y intercept, which can be found when x = 0. If y goes down by 6 every time x decreases by 100 then the y-intercept has to be 8, according to the point (100, 14).

b = 8

 

Equation: y = mx + b is the slope-intercept form.

By substituting our values:

y = 3/50 x + 8

 

Lets check this for point (300, 26)

 

26 = 3/50 * 300 +8

26 = 900/50 + 8

18 = 900/50

18 = 18

 

yay :)

zacismyname May 20, 2015

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