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The Line on the graph passes through the points A (1,3) and B (7,1)
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The Line On The Graph Passes Through The Points A 13 And B 71 class=

Sagot :

kwaboakye93

Step-by-step explanation:

a) The gradient of AB

The gradient is the ratio of the change in y values to the change of the x values (that is, (1-3)/(7-1))

therefore the gradient =-2/6

b) The gradient of the line perpendicular to AB

It's the negative reciprocal of the gradient of AB (That's gradient (perp.)=-1/gradient (AB))

=-1/(-2/6)

gradient=3

c) Equation of the perpendicular line through (4,2)

The formula for finding an equation of a line is

y-the y coordinate of a point in a line = gradient ( x-the x coordinate of a point in a line)

y-2=3(x-4)

y-3x+4-2=0

y-3x+2=0 is the line

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