PLZ HELP Explain 72. Determine the value of r so that a line through the points with the coordinates (r, 4) and (-2,3) has slope 1/4
a. 4.5
b. 6
c. -2
d. 2

9514 1404 393

  d.  2

Step-by-step explanation:

The point-slope form of the equation for the line can make use of the given slope and point:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -3 = 1/4(x +2) . . . . line with slope 1/4 through point (-2, 3)

Filling in the unknown point values, we have ...

  4 -3 = 1/4(r +2)

  4 = r + 2

  2 = r

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Alternate solution

The way the question is worded, you seem to be expected to use the slope formula.

  m = (y2 -y1)/(x2 -x1)

For the given points and slope, you have ...

  1/4 = (3 -4)/(-2 -r)

  -2 -r = 4(-1) . . . cross multiply

  2 = r . . . . . . . . add r+4 to both sides

i need a picture

step-by-step explanation:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.