Question

Which is an equation in point-slope form of the line that passes through the points (4, 5) and (–3, –1)?

y - 1 = 6/7(x - 3)

y + 1 = 6/7(x + 3)

y + 3 = 7/6(x + 1)

y + 1 = 6/5(x +3)

Answer 1

Which is an equation in point-slope form of the line that passes through the points (4, 5) and (–3, –1)?

Answer 2

first we find the slope by using the slope formula :
slope (m) = (y2 - y1) / (x2 - x1)
(4,5)...x1 = 4 and y1 = 5
(-3,-1)...x2 = -3 and y2 = -1
now sub
slope(m) = (-1 - 5) / (-3 - 4)
slope(m) = -6/-7
slope(m) = 6/7

now use point-slope formula
y - y1 = m(x - x1)
slope(m) = 6/7
use either of your points...(4,5)...x1 = 4 and y1 = 5
now sub
y - 5 = 6/7(x - 4)
OR
slope(m) = 6/7
(-3,-1)....x1 = -3 and y1 = -1
y - (-1) = 6/7(x - (-3)
y + 1 = 6/7(x + 3) <==== here it is

Answer 3

thx