Question

Exercises 11.9 Complete the following: 1. List the characterizing property for each family of lines. - (b) 6x + By = 24 (d) y = 4x + b (f) kx + ky = k? (h) m(x + 2) = y - 1 (a) 5x + y = C (c) Ax - 7y = 21 (e) y = mx + 5 (g) Ax + By = 0 (i) y = x tan 50° + b х = а

Answer 1

1 (d)

The equation of line is y=4x+b.

The coordinates of y-intercept is,

$(0,\frac{c}{m})$

Here, c is constant term of equation and m is coefficient of y.

So y intercept of the equation is,

$(0,\frac{b}{1})=(0,b)$

So characterizing property of line is (0,b).

The coordinate of x intercept of the equation is,

$(-\frac{c}{a},0)$

Here, a is coefficient of x terms.

Substitute the value in the equation to obatin x intercept.

$(-\frac{b}{4},0)$

So x intercept of equation is (-b/4,0).