Answer:
14. y = 6x - 5
15. y = -4x - 24
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercet → (0, b)
The formula of a slope:
[tex]m=\sdeac{y_2-y_1}{x_2-x_1}[/tex]
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14.
(2, 7), (0, -5) → b = -5
Calculate the slope:
[tex]m=\dfrac{-5-7}{0-2}=\dfrac{-12}{-2}=6[/tex]
The equation of a line:
[tex]y=6x-5[/tex]
15.
(-6, 0), (0, -24) → b = -24
Calculate the slope:
[tex]m=\dfrac{-24-0}{0-(-6)}=\dfrac{-24}{6}=-4[/tex]
The equation of a line:
[tex]y=-4x-24[/tex]
