Question

10. The equation of the line passing through the point (a,0), (0, b) is A) ax +by - ab = 0 B) bx + ay - ab = 0 C) ax - by+ab = 0 D) bx - ay+ab=0
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Answer 1

Answer:

Answer is option b

Step-by-step explanation:

Let m represent the slope of the line, then:

m = (y2 - y1) / (x2 - x1)

It does not matter which of the points is the first point, I will use (a, 0) as the first point, subscript of 1 and (0,b) as the second point, subscript of 2:

m = (b - 0) / (0 - a), or m = -b/a

Next, use the point-slope form of the line to find the line:

Point-slope: y - y1 = m * (x -x1)

Substitute:

m = -b/a

y1 = b

x1 = 0

y - b = -b/a * (x - 0)

y - b = (-b/a) * x

Multiply through by a to clear fraction:

ay - ab = -bx

Rearrange:

bx + ay = ab

The line in standard form is: bx + ay = ab.