## 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

Question

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 the value of y is
.

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2 weeks 2021-10-04T09:19:10+00:00 1 Answer 0

1. The question is incomplete. The complete question is here.

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 ___.

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

Step-by-step explanation:

The form of a linear equation is y = m x + b, where

• m is the slope of the line
• b is the y-intercept (value y at x = 0), to find b substitute x and y in the equation by the coordinates of a point on the line

∵ 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