Question

Write the equation of the line that passes through the points (4,1) and (-6,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answer 1

Find the slope:

• 
  `m = (y2-y1)/(x2-x1) = (9 - 1)/(-6 - 4) = -(8)/(10) = -(4)/(5)`

Use point-slope form and one of the points:

• y - y₁ = m(x - x₁)
• 
  `y - 1 = -(4)/(5)(x - 4)`