Rewrite a linear equation in slope-intercept form

Question

What is the slope intercept form of the equation y+5 =-3/5 (x+6)

Answer 1

Christopher,

What you have is called the point slope form: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line. To get slope intercept form, y = mx + b, all you have to do is distribute and combine like terms.

 

y + 5 = 3/5(x + 6)           distribute

y + 5 = 3/5x + 18/5         subtract 5

y = 3/5x + 18/5 - 25/5     combine like terms

y = 3/5x - 7/5