Write an equation of the line given an intercepts. Express in standard form. 1. x – intercept is 4 and y – intercept is 3.
2. x – intercept is -2 and y – intercept is 5.

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Step-by-step 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