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Softa [21]
3 years ago
14

PLEASE HELP NOW! (-2, -4) and (-3, -3) in a linear equation

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

The linear equation is y = -x - 6

Step-by-step explanation:

To form a linear equation from two points lie on the line which the equation represented it

  • Find the slope of the line by using the formula m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • Then use the slope-intercept form of the equation y = m x + b
  • To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵  Points (-2 , -4) and (-3 , -3) lie on the line

∴ x_{1} = -2 and x_{2} = -3

∴ y_{1} = -4 and y_{2} = -3

- Substitute these values in the formula of the slope

∵ m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}

∴ m = -1

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

∵ m = -1

∴ y = (-1) x + b

∴ y = -x + b

To find b substitute x and y in the equation by the coordinates of

point (-2 , -4) OR (-3 , -3)

∵ x = -3 and y = -3

∴ -3 = -(-3) + b

∴ -3 = 3 + b

- Subtract 3 from both sides

∴ -6 = b

∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

Learn more:

You can learn more about linear equation in brainly.com/question/4326955

#LearnwithBrainly

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