Question

Find the equation that goes through (1,2) and (5, 8) Next: Use Point-Slope Form The slope is 3/2 Use the point (5, 8) Point Slope Form: y - y = m(x - ×)

Answer 1

y - 8 =
`(3)/(2)` (x - 5)

Explanation:

the equation of a line in point- slope form is

y - y₁ = m(x - x₁ )

where m is the slope and (x₁, y₁ ) a point on the line

calculate the slope m, using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (5, 8) ← points the line goes through

substitute these values into the formula for m

m =
`(8-2)/(5-1)` =
`(6)/(4)` =
`(3)/(2)`

using (x₁, y₁ ) = (5, 8 ) , then

y - 8 =
`(3)/(2)` (x - 5) ← in point- slope form