Question

If A is (5, -3) and B is a point on the x-axis such that the slope of line AB is -2 then B =​

Answer 1

Answer:

Coordinates of point B are ( 7 / 2 , 0 ).

Step-by-step explanation:

Given that the point B lies on the x-axis, so the y-coordinate of point B must be 0.

Let the coordinate of point B be ( a , 0 ).

From the properties of lines,

• Slope of a line passing through ( x$_1 , y_1$ ) and ( x$_2 , y_2$ ) is given by $\dfrac{y_2 - y_1}{x_2 - x_1 }$

Here, points are ( 5 , - 3 ) and ( a , 0 ).

= > { 0 - ( - 3 ) } / { a - 5 } = - 2

= > { 3 } / ( a - 5 ) = - 2

= > 3 = - 2( a - 5 )

= > 3 = - 2a + 10

= > 2a = 7

= > a = 7 / 2

Hence the coordinates of point B are ( 7 / 2 , 0 ).

Answer 2

Answer:

7÷2,0

Step-by-step explanation:

Given that the point B lies on the x-axis, so the y-coordinate of point B must be 0.

Let the coordinate of point B be ( a , 0 ).

From the properties of lines,

Slope of a line passing through ( x_1 , y_1

1

,y

1

) and ( x_2 , y_2

2

,y

2

) is given by \dfrac{y_2 - y_1}{x_2 - x_1 }

x

2

−x

1

y

2

−y

1

Here, points are ( 5 , - 3 ) and ( a , 0 ).

= > { 0 - ( - 3 ) } / { a - 5 } = - 2

= > { 3 } / ( a - 5 ) = - 2

= > 3 = - 2( a - 5 )

= > 3 = - 2a + 10

= > 2a = 7

= > a = 7 / 2

Hence the coordinates of point B are ( 7 / 2 , 0 ).