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]
