math help thanks!

Question

Find the slope-intercept form of the line that satisfies the given conditions.
Through A(3, 0) and B(−5, 2)

Answer 1

given conditions

 

A(3, 0) and B(−5, 2)

 

First we will find slope

 

slope =m =(y2-y1) / (x2-x1)

 

         = (2-0)/(-5-3)

         =2/-8

         =-1/4

 

y-y1 = m(x-x1)

 

y-0 = -1/4(x-3)

 

y = (-1/4)x +3/4   slope intercept form

 

 

 

 

 

Answer 2

Let A(x₁,y₁) = A(3,0)

Let B(x₂,y₂) = B(-5,2)

 

A. First, find the slope, m.

 

m = (y₂ - y₁) / (x₂ - x₁)

 

Plug in the corresponding numbers. You should get: m = -1/4

 

B. Second, find the y-intercept, b.

 

The slope-intercept form of the equation is: y = mx + b.

You have m from Part A.

Choose any point, either A or B.

 

Just plug in the values for x and y from either Point A or Point B. Substitute in the slope, m, from part A. Solve for b.

 

y = mx + b

 

b = y - mx

 

Plug in the numbers and solve.

 

C. Once you have both m and b. Plug them into the slope-intercept form to arrive at your final answer in the form:

 

y = mx + b