Jellieroll2000
Answered

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What is the slope-intercept form of the function that contains the points (3, 1) and (2, 9)?

Sagot :

olemakpadu
First let us find the slope of the line using the two points (3,1), (2,9) given.
x1 = 3, y1 = 1,  x2 = 2, y2 =9

m = (y2 - y1)/(x2 - x1). 
m = (9 - 1)/(2 - 3).
m = 8/-1 = - 8.
Therefore  slope, m = -8.

Using y = mx + c.  Slope = m,  m = -8.
y = -8x + c

Substituting any of  the point (3,1) into  the equation,  x = 3, y = 1.
1 = -8(3) + c
1 = -24 + c
1+24 = c
25 = c
c = 25  Substituting into y = mx + c,  m =-8,  c = 25
Therefore  y = -8x + 25.
y = -8x + 25.

That's it . Cheers.
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