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

B

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

Calculate m using 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 for (a, b)

Using (a, b) = (- 4, - 1), then

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

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