Question

What ordered pair is a solution for y-4=7(x-6)

Answer 1

The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)

Step-by-step explanation:

The point-slope form of a linear equation is:

$y-y_{1}=m(x-x_{1})$ , where

• m is the slope of the line
• $(x_{1},y_{1})$ is a point on the line

Any point on the line is a solution for the equation of the line

The solution of an equation is the values of x and y which make the left hand side is equal to the right hand side

∵ The equation is y - 4 = 7(x - 6)

- Compare the equation by the point-slope form above

∴ m = 7

∴ $x_{1}$ = 6 and $y_{1}$ = 4

- That means point (6 , 6) lies on the line

∴ Point (6 , 4) is a point on the line which represents the

   given equation

∵ Any point on a line is a solution of the equation of that line

∴ (6 , 4) is a solution of the equation

The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)

Learn more:

You can learn more about the linear equations in brainly.com/question/1284310

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