Question

4. A line passes through (2, -1) and (8,4).

a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.

Answer 1

a) Equation of the line
`y +1 = (5)/(6) (x - 2)`

b) Equation of the line y + 1 = 0.833 ( x-2)

Explanation:

Explanation:-

Given points are ( 2,-1) and (8 ,4)

Slope of the line

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

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

Point - slope form

y - y₁ = m ( x - x₁)

y - (-1) = 5 /6 ( x-2)

6 ( y +1) = 5 (x -2)

a) Equation of the line
`y +1 = (5)/(6) (x - 2)`

b) Equation of the line y + 1 = 0.833 ( x-2)