Question

Which is an equation in point slope form of the line that passes through the points 7,5 and -4,-1

Y+1=6/7(x+4)

Y+1=6\11(x+4)

Y+4=11/6(x+1)

Y-1=6/11(x-4)

Answer 1

the second option is the correct one

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)

m =
`(-1-5)/(-4-7)` =
`(-6)/(-11)` =
`(6)/(11)`

Use either of the 2 points as (a, b)

using (- 4, - 1), then

y- (- 1) =
`(6)/(11)`(x - (- 4)), that is

y + 1 =
`(6)/(11)`(x + 4)