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PLEASE HELP I DO NOT UNDERSTAND AT ALL AND SHOW YOUR WORK !!

write the equation of the line given the y- and x- intercepts
y intercept (-6,0), x-intercept (0,-8)
y intercept (0,-6), x-intercept (-2,0)
y intercept (0,8), x-intercept (1.6,0)
y intercept (0,7), x-intercept (-1.4,0)

Sagot :

ameliaswan

Answer:

y intercept (-6,0), x-intercept (0,-8) : [tex]y = \frac{-4}{3}x -8[/tex]

y intercept (0,-6), x-intercept (-2,0): [tex]y = -3x -6[/tex]

y intercept (0,8), x-intercept (1.6,0): [tex]y = -5x + 8[/tex]

y intercept (0,7), x-intercept (-1.4,0): [tex]y = 5x + 7[/tex]

Step-by-step explanation:

y = mx + b

*note: b is the y intercept

1. y intercept (-6,0), x-intercept (0,-8)

[tex]m = \frac{-8 - 0}{0 - (-6)}= \frac{-8}{6} = \frac{-4}{3}\\y = \frac{-4}{3}x + b\\y = \frac{-4}{3}x -8[/tex]

2.y intercept (0,-6), x-intercept (-2,0)

[tex]m = \frac{0 - (-6)}{-2 - 0} = \frac{6}{-2} = -3\\y = -3x + b \\y = -3x -6[/tex]

3. y intercept (0,8), x-intercept (1.6,0)

[tex]m = \frac{0 - 8}{1.6 - 0}= \frac{-8}{1.6} = -5\\y = -5x + b\\y = -5x + 8[/tex]

4. y intercept (0,7), x-intercept (-1.4,0)

[tex]m = \frac{0 - 7}{-1.4 - 0} = \frac{-7}{-1.4}= 5 \\y = 5x + b\\y = 5x + 7[/tex]

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