Answer:
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
Explanation:
Standard form of equation is given as:

1. x – intercept is 4 and y – intercept is 3.
The points will be:
(4,0) and (0,3)
Slope: m =


Slope intercept form of line is:

Putting the values of m and b(y-intercept)

Multiplying whole equation by 4

2. x – intercept is -2 and y – intercept is 5
The points will be:
(-2,0) and (0,5)
Now

Putting the values of m and b in slope intercept form

Multiplying the equation by 2


Hence,
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10