## A line passes through point (-2, 5) and has a slope of . Points A(x, 3) and B(-2, y) lie on the line. The value of x is , and t

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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 ___, the value of y is ___.Answer:The value of x is

-5, and the value of y is5Step-by-step explanation:The form of a linear equation is y = m x + b, where

∵ The slope of the line is

∴ m =

∵ The form of the equation is y = m x + b

∴ y = x + b

– Substitute x and y by the coordinates of a point on the line

∵ The line passes through point (-2 , 5)

∴ x = -2 and y = 5

∵ 5 = (-2) + b

∴ 5 = + b

– Add to both sides

∴ = b

∴ y = x +

∵ Point A (x , 3) lies on the line

– Substitute y by 3 to find x

∴ 3 = x +

– Subtract from both sides

∴ = x

– Divide both sides by

∴ -5 = x

∴

The value of x = -5∵ Point B (-2 , y) lies on the line

– Substitute x by -2 to find y

∴ y = (-2) +

∴ y = +

∴ y =

∴ y = 5

∴

The value of y = 5