Question

Which equation in point -slope form contains the points (8,10) and (-4,2)

Answer 1

see explanation

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 gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (8, 10) and (x₂, y₂ ) = (- 4, 2)

m =
`(2-10)/(-4-8)` =
`(-8)/(-12)` =
`(2)/(3)`

Using either of the 2 points as point on the line

using (8, 10 ), then

y - 10 =
`(2)/(3)`(x - 8) ← in point- slope form