Question

Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).

Answer 1

y − 4 = −one half(x + 6)

y − 4 = 2(x + 6)

y + 6 = −one half(x − 4)

y + 6 = 2(x − 4)

Answer 2

we need to find the slope first by using the slope formula :
slope(m) = (y2 - y1) / (x2 - x1)
(-6,4) x1 = -6 and y1 = 4
(2,0) x2 = 2 and y2 = 0
now lets sub
slope(m) = (0 - 4) / (2 - (-6)
m = -4/8 = -1/2 <-- slope is -1/2

now we will use this formula : y - y1 = m(x - x1)
slope(m) = -1/2
(-6,4) x1 = -6 and y1 = 4
now we sub
y - 4 = -1/2(x - (-6)
y - 4 = -1/2(x + 6) -- point slope form

any questions ?