the straight line passing through the points (-4,26) and (8,55)

Question

the straight line passing through the points (-4,26) and (8,55) What is the equation?

Answer 1

Hi Kaylee, the first step is to find the slope of the line. Let m represent the slope.

 

m = (y₂ - y₁) / (x₂ - x₁)

 

Let (-4, 26) represent the x₂ and y₂. The (8, 55) will represent the x₁ and y₁.

 

Substitute:

 

m = (26 - 55) / (-4 - 8)

 

m = -29 / -12

 

m = 29 / 12

 

Use the point-slope form of the line to find the line:

 

y - y₁ = m * (x - x₁)

 

Substitute:

 

y - 55 = 29/12 * (x - 8)

 

Clear fraction, multiply entire equation by 12

 

12y - 660 = 29 * (x - 8)

 

12y - 660 = 29x - 232

 

Add 660 to both sides, and subtract -29x from both sides:

 

-29x + 12y = 428

 

Multiply equation by -1:

 

29x - 12y = -428

 

This is the standard form of the line or equation.

 

Questions?