Question

Write an equation in point-slope form and slope-intercept form

Answer 1

Answer:

point-slope form: y - 1 = -4/5(x - 8)    

slope-intercept form:  y = -4/5x + 7.4

Step-by-step explanation:

Find slope using the points (8, 1) and (-2, 9):

  m = (y₂ - y₁) / (x₂ - x₁)

      = (9 - 1) / (-2 - 8)

      = 8 / -10

  m = -4/5

Find y-intercept using slope m from above and anyone of the given points, let's use (8, 1):

  y = mx + b

  1 = -4/5(8) + b

  1 = -6.4 + b

   b = 7.4

Use slope m and y-intercept b above to form equation of line in slope-intercept form:

  y = mx + b

  y = -4/5x + 7.4

For point slope form use slope m from above and a point, again let's use (8, 1):

  y - y₁ = m(x - x₁)

  y - 1 = -4/5(x - 8)