Slope= -8, through (-6,5)

Question

Write the equation of the line, with the given properties, in slope-intercept form.

Answer 1

Start using point-slope form, y - y₁ = m (x - x₁), with the slope m and the given point (x₁, y₁):

  y - 5 = -8 (x - (-6))

  y - 5 = -8 (x + 6)    (Simplify)

  y - 5 = -8x - 48       (Distribute)

  y      = -8x -43        (After adding 5 to each side)

This is the answer in slope-intercept form.

Answer 2

y=mx+b

y=-8x+b

5=-8(-6)+b

5=48+b

-43=b

ANS: y=-8x-43    (slope intercept form)