Which Line Passes Through The Points (3,4) And (8,1), Write It In Slope-Intercept Form

Which line passes through the points (3,4) and (8,1), write it in slope-intercept form

 

Answer:

y = -3x/5 + 29/5  ⇒  slope-intercept form

3x + 5y = 29  ⇒  Standard form

3x + 5y - 29 = 0  ⇒ General form

Step-by-step explanation:

Slope-intercept form:

y = mx +

Given two points:

(x₁, y₁) =  (3,4)

(x₂, y₂) = (8,1)

Use the two-point form to find the equation y=mx+b:

y - y₁ = (y₂-y₁)/(x₂-x₁) (x - x₁)

y - 4 = (1-4)/8-3)(x - 3)

y - 4 = (-3/5)(x - 3)

y = -3x/5 + 9/5 + 4

y = -3x/5 + (9/5) + 20/5

y = -3x/5 + 29/5 ⇒  slope-intercept form y=mx+

Where:

Slope (m) = -3/5

y-intercept (b) = 29/5

Standard form and General forms:

y = -3x/5 + 29/5

(5)(y = -3x/5 + 29/5)(5)

5y = -3x + 29

3x + 5y = 29  ⇒  Standard form

3x + 5y - 29 = 0  ⇒ General form