Question

14.Write an equation of the line that passes through (2, 7)(2, 7) and (0, −5)

15.Write an equation of the line that passes through (−6, 0)(−6, 0) and (0, −24)(0, −24).

Answer 1

6x-5

Step-by-step explanation:

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Answer 2

14. y = 6x - 5

15. y = -4x - 24

Step-by-step explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercet → (0, b)

The formula of a slope:

`m=\sdeac{y_2-y_1}{x_2-x_1}`

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14.

(2, 7), (0, -5) → b = -5

Calculate the slope:

`m=(-5-7)/(0-2)=(-12)/(-2)=6`

The equation of a line:

`y=6x-5`

15.

(-6, 0), (0, -24) → b = -24

Calculate the slope:

`m=(-24-0)/(0-(-6))=(-24)/(6)=-4`

The equation of a line:

`y=-4x-24`