Question

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

Answer 1

Answer:

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:

$m=\dfrac{-5-7}{0-2}=\dfrac{-12}{-2}=6$

The equation of a line:

$y=6x-5$

15.

(-6, 0), (0, -24) → b = -24

Calculate the slope:

$m=\dfrac{-24-0}{0-(-6)}=\dfrac{-24}{6}=-4$

The equation of a line:

$y=-4x-24$