angelah8105 angelah8105
  • 11-11-2021
  • Mathematics
contestada

A line that includes the points ( – 4, – 6) and (5,v) has a slope of – 2/9 . What is the value of v?

Respuesta :

rspill6
rspill6 rspill6
  • 14-11-2021

Answer:

v is -8

Step-by-step explanation:

The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We are given the slope, so let's write:

  y = -(2/9)x + b

We can find b by using the one fully given point, (-4, -6).

y = -(2/9)x + b

-6 = -(2/9)(-4) + b

b = -6 - (8/9)

b = -(62/9)

Now we have   y = -(2/9)x - (62/9)

We want the value of y when x is 5 to find v in (5,v):

y = -(2/9)x - (62/9)

y = -(2/9)(5) - (62/9)

y = -(10/9) - (62/9)

y = -(72/9)

y = -8

v is -8

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