Question

Write an equation in point-slope form of the line that passes through the given point and with the given slope, m

Answer 1

Equation format for a slope, m and a point (x1, y1)

y - y1  = m(x - x1)      (Try and memorize this formula)

8) for (3,-4),  m = 6.    x1 = 3,  y1 = -4, Substituting
y - y1  = m(x - x1)
y - (-4)  = 6(x - 3)
y + 4  = 6x - 18
y = 6x - 18 - 4
y = 6x - 22

10) for (-2,-7),  m = 4/5.    x1 = -2,  y1 = -7, Substituting
y - y1  = m(x - x1)
y - (-7)  = (4/5)*(x - (-2))
y + 7  = (4/5) *(x +2)                      4/5 = 0.8
y + 7  = 0.8x  + 1.6
y = 0.8x + 1.6-7
y = 0.8x - 6.4
y = (4/5)x - (64/10)
y = (4/5)x - (32/5)

So same approach to solve others. Cheers.