Question

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)

Answer 1

y intercept (-6,0), x-intercept (0,-8) :
`y = (-4)/(3)x -8`

y intercept (0,-6), x-intercept (-2,0):
`y = -3x -6`

y intercept (0,8), x-intercept (1.6,0):
`y = -5x + 8`

y intercept (0,7), x-intercept (-1.4,0):
`y = 5x + 7`

Explanation:

y = mx + b

*note: b is the y intercept

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

`m = (-8 - 0)/(0 - (-6))= (-8)/(6) = (-4)/(3)\\y = (-4)/(3)x + b\\y = (-4)/(3)x -8`

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

`m = (0 - (-6))/(-2 - 0) = (6)/(-2) = -3\\y = -3x + b \\y = -3x -6`

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

`m = (0 - 8)/(1.6 - 0)= (-8)/(1.6) = -5\\y = -5x + b\\y = -5x + 8`

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

`m = (0 - 7)/(-1.4 - 0) = (-7)/(-1.4)= 5 \\y = 5x + b\\y = 5x + 7`