1. What is the Standard Form of the line with x-intercept of 6 and y-intercept of 2? 2x + 6y = 8
6x + 2y = 8
6x + 2y = 12
2x + 6y = 12

Step-by-step explanation:

these intercepts are also points.

for an y- intercept x =0.

for an x- intercept y = 0.

so, we have the points (6,0) and (0, 2).

the regular equation for a line is

y = ax + b

(0, 2) gives us b directly :

2 = a×0 + b = b

and from there with the second point

0 = a×6 + 2

0 = 3a + 1

-1 = 3a

a = -1/3

so, the equation is

y = (-1/3)x + 2

and transform to standard form

3y = -x + 6

x + 3y = 6

that is the same as

2x + 6y = 12 of the answer options.