(b) Work out an equation of the straight line that passes through (9, 2) and (3, 5)
[3 marks]

Ans:

y=-1/2x+13/2

image to see

The required equation of the line passing through (9, 2) and (3, 5) is y = -0.5x - 6.5

The standard equation of a straight line is expressed as u = mx + b

m is the slope of the line

b is the y-intercept

Given the coordinate points (9, 2) and (3, 5)

Get the slope of the line

Slope  = 5-2/3-9

Slope  = -3/6

Slopee  =-1/2

Get the y-intercept

Recall that y = mx + b

2 = -1/2(9) +b

2 = -4.5 + b

b = 6.5

Hence the required equation of the line passing through (9, 2) and (3, 5) is y = -0.5x - 6.5

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