math question?
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(2,4)…are cordinates (x,y)
so put x=2 and y=4
now u have
4=2a+b—-> equation 1
if y=5x+1 and y=ax+b [or 4=2a+b] are perpendicular then
gradient of eq1 and gradient of y=5x+1 =-1
gradient of y=5x+1 is 5 bcz y=mx+c
n m=5 i.e. gradient =5
gradient of first eq. is a
ask me how!
since every line has eq. y=mx+c
and in this case line is y=ax+b
m is gradient so….m=a
so….we have
gradient 1 multiple gradient 2 =-1
5xa=-1
so a is -1/5
now lets find b
in eq 1. put value of a
4=2a+b
4=-2/5 +b
4+ 2/5=b
b=22/5
b=4 2/5
Since the slope of y = 5x + 1 is 5, the slope of y = ax + b will be -1/5.
Using point-slope form: y – y1 = m(x – x1), we get
y – 4 = -1/5(x – 2)
y = -1/5 * x + 4 + 2/5
y = -0.2x + 4.4
a = -0.2 = -1/5
b = 4.4 = 4 and 2/5 = 22/5
I hope this helps!
thus: y=1/5x+b
since the line passes through (2,4), plug those in to the equation for x and y,
4=1/5(2)+b
b=4-1/5(2)
b=3.6
a=0.2
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