The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use? (7, 3) (0, 7) (7, 0) (3, 7)

Respuesta :

Answer:

The answer to your question is (7, 0)

Step-by-step explanation:

Data

A (7, 3)

B (0, 7)

C (7, 0)

D (3, 7)

Process

1.- Substitute each point in the equation to find the answer

Point A           y - 3 = m(x - 7)

Point B           y - 7 = m(x - 0)

Point C           y - 0 = m(x - 7)

Point D           y - 7 = m(x - 3)

2.- Conclusion

The only possibility is that m = 3 and the answer will be the third point (7,0)

The point Harold used is (7, 0) to represent point-slope form equation.

Formula for point-slope form:

  • y - y₁ = m(x - x₁)

where

m = slope

x₁ = coordinates on the x axis

y₁ = coordinates on the y axis

Harold correctly wrote the equation as follows using a point-slope form;

y = 3(x - 7)

The point Harold used is (7, 0).

Prove:

y - 0 = m(x - 7)

y = m(x - 7)

m = 3

y = 3(x - 7)

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