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2 years ago

FIND EQUATION OF LINE

Mathematics

1 answer:

Tomtit [17]2 years ago

7 0

Answer:

Y=4x-9

Step-by-step explanation:

Take two points; (0,-9) and (2,-1)

The slope will be: (-1-(-9))÷(2-0)

And it equals 4

A point (2,-1)

y-y1=m(x-x1)

Y-(-1)=4(x-2)

Y+1=4x-8

Y=4x-9

Hope it helps

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

777dan777 [17]

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

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∵ 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

#LearnwithBrainly

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