Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

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.


The value of x is__________
, and the value of y is __________
.

Answer 1

value of x is -5

value of y is 5

Step-by-step explanation:

Answer 2

Answer: The value of x is -5 and the value of y is 5.

Step-by-step explanation:

The slope of the line is
`(2)/(3)` and the point is (-2,5) from which the line line is passing.

If a line is passing through the point
`(x_1,y_1)` with slope m, the the equation of line is,

`y-y_1=m(x-x_1)`

`y-5=(2)/(3)(x+2)`

`3y-15=2x+4`

`3y-2x=19` ..... (1)

It is given that the point A(x,3) and B(-2,y) lies on the line. It means it satisfies the equation of the line.

Put y=3 in equation (1).

`3(3)-2x=19`

`-2x=10`

`x=-5`

The value of x is -5.

Put x=-2.

`3y-2(-2)=19`

`3y+4=19`

`3y=15`

`y=5`

The value of y is 5.