Equation in slope intercept form

Question

Equation in slope intercept form

(-10,3);y=5x-7

Answer 1

Since you are given a point, you will use the point-slope form to find the 2^nd equation that intersects with the original equation.

 

y - y₁ = m(x - x₁), where P(x₁, y₁) and m is the slope.

 

Plug in the initial values of the point.

 

y - 3 = m(x - (-10))  ⇒  y - 3 = m(x + 10)

 

Find the negative reciprocal of the slope from the original equation.  m = -1/5

 

Plug in the slope.  ⇒  y - 3 = -1/5(x + 10)

 

Distribute the -1/5.  ⇒  y - 3 = (-1/5)x - 2

 

Add 3 to both sides.  ⇒  y = (-1/5)x + 1