Question

a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y and x

Answer 1

The value of y is 5 , and The value of x is - 5

Explanation:

Given as :

The line passes through point ( - 2, 5)

The slope of line is m =
`(2)/(3)`

Equation of line is written as

y -
`y_1` = m × (x -
`x_1`)

Since line passes through line ( - 2 , 5 ) and have slope
`(2)/(3)`

So, y - 5 =
`(2)/(3)` × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴ x = -
`(10)/(2)`

I.e x = - 5

Again points ( - 2 , y ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or, 3 × y + 4 -19 = 0

or, 3 y = 15

∴ y =
`(15)/(3)`

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5 . Answer