Question

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

Answer 1

Answer:

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.

Explanation:

The slope of the line is $\frac{2}{3}$ 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,

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

$y-5=\frac{2}{3}(x+2)$

$3y-15=2x+4$

$3y-2x=19$    ..... (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.