Question

if A is a point whose ordinate is 8 and B is a point on the X- axis whose abscissae is 5 then the equation of the line AB is​

Answer 1

The complete question is:-

If A is a point on Y-axis whose ordinate is 8 and B is a point on the X-axis whose abscissa is 5 then the equation of the line AB is​

(a) 8x+5y=40

(b) 8x-5y=40

(c) x = 8

(d) y = 5

Answer:-

Given:

If A is a point on Y-axis whose ordinate is 8 and B is a point on the X-axis whose abscissa is 5

To Find:

Equation of the line AB

Solution:

According to the given conditions, let A(0.8) and B(5,0)

(Refer to the attached diagram)

     $\frac{y-y1}{y2 - y1} =\frac{x - x1}{x2 -x1}$.................(i)

Putting the given values in equation (i), we get

⇒ $\frac{y-8}{0-8}=\frac{x-0}{5-0}$

⇒ $\frac{y - 8}{-8} = \frac{x}{5}$

⇒ 5(y - 8) = -8x

⇒ 5y - 40 = -8x

⇒ 8x + 5y = 40

or 8x + 5y - 40 = 0

Hence, the equation of the given line AB will be 8x + 5y = 40 i.e. option (a) is the correct answer