Write the equation of the line, given the y and x-intercepts. y-intercept = –6, x-intercept = –2

Linear equation: (-2,-6)

Quadratic Equation: y = +8x =12

Step-by-step explanation:

see Example image #1 for Linear Equation graph

See Example image #2 for Quadratic Equation graph

Quadratic Equation Explanation:

x = -2 an x = -6 are the two real distinct solutions for the quadratic equation, which means that x+2 and x+6 are the factors of the quadratic equation.

( x + 2 ) ( x + 6 ) = 0

Expand  ( x + 2 ) ( x + 6 )  using the FOIL Method.

x ⋅ x + x ⋅ 6 + 2 x + 2 ⋅ 6 = 0

Simplify and combine like terms.

+ 8 x + 12 = 0

The standard quadratic equation using the given set of solutions{ − 2 , − 6 }  is

y = + 8 x + 12 .

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)