6.
write the equation of the line in slope-intercept form that has the following points: (4, 5) (-1, 2)
a. y = 3/5x + 1
b. y = -x + 1
c. y = -x + 13/5
d. y = 3/5x + 13/5

  D.  y = 3/5x + 13/5

Step-by-step explanation:

The slope of the desired line is the ratio of the difference in y-values to the difference in x-values:

  m = Δy/Δx = (2 -5)/(-1 -4) = -3/-5 = 3/5 . . . . . . eliminates choices B and C

The slope-intercept equation will then be ...

  y = mx + b . . . . . . . generic slope-intercept form

  y = 3/5x + b . . . . . . put in m; true for some b that puts the given points on the line

Using the first point, we have ...

  5 = 3/5×4 + b

  25/5 = 12/5 + b

  13/5 = b . . . . . . . . . subtract 12/5

Then the equation is ...

  y = 3/5x + 13/5

_____

You know as soon as you consider putting a point value in the equation ...

  y = 3/5x + b

that the equation of choice A cannot work. That only leaves choice D.

no not all of them.

step-by-step explanation:

some of them have a square base.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!