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

Answer:

a) Equation of the line    $y +1 = \frac{5}{6} (x - 2)$

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

Step-by-step explanation:

Explanation:-

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

Slope of the line

                       $m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

                      $m = \frac{4- (-1) }{8-2 } = \frac{5}{6}$

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    $y +1 = \frac{5}{6} (x - 2)$

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