Y-2=7(X -4) what form of an equation is this? please and thank you <3

9514 1404 393

  linear equation in the point-slope form

Step-by-step explanation:

There are many forms an equation for a line may take. Some of the ones commonly seen are ...

  ax +by = c . . . . standard form (a,b,c mutually prime integers; a>0)

  y = mx + b . . . . slope-intercept form (m=slope; b=y-intercept)

  y -k = m(x -h) . . . . point-slope form (m=slope, (h, k)=point)

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and some additional ones I commonly use are ...

  x/(x-intercept) +y/(y-intercept) = 1

  y = m(x -h) +k . . . . variation of point-slope form (m=slope; (h, k)=point)

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . two-point form (points (x1, y1) and (x2, y2))

  bx -ay = bh-ak . . . . line perpendicular to standard form line ax +by = c through point (h, k)

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If you compare these forms to the equation you're given, you see it matches the "point-slope form" for point (4, 2) and slope 7.

hi there, i would be interested to you with your test, may you add the questions and answer options.

- : )

b.   e = 7.5h

hope this , lovely!