Question

Which of the following equations is represented by a line passing through (-9, 7) and (3, 3) in the

standard (x, y) coordinate plane?

Answer 1

Explanation:

`soln \\ (3 - 7 )/(3 - - 9) \\ = ( - 4)/( - 12) \\ = (1)/(3 ) \\ (y - 7)/(x - 3) = (1)/(3) \\ then \: you \: cross \: multiplication. \\ 3(y - 7) = 1(x - 3) \\ 3y - 7 = x - 3 \\ 3y = x - 3 + 7 \\ 3y = x + 4 \\ (3y)/(3) = (x)/(3) + (4)/(3) \\ y = (x)/(3) + (4)/(3)`

Answer 2

y = -1/3x + 4

Explanation:

(-9, 7) and (3, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-7)/(3+9)

m=(-4)/12

m= -1/3

Slope-intercept:

y - y1 = m(x - x1)

y - 7 = -1/3(x + 9)

y - 7 = -1/3x - 3

y = -1/3x + 4