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

see explanation

Step-by-step 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 = = =

Using either of the 2 points as point on the line

using (8, 10 ), then

y - 10 = (x - 8) ← in point- slope form

if y=4x then you will substitute 4x in for y in the second equation.

8x + 4x = 18 combine like terms

12x = 18 divide by 12 on both sides

x = 18/12 or 3/2

now replace x in the first equation with 3/2 to get

y = 4 3/2

y = 6

the answer is a

(3/2,6)

hope that .

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