Find the slope intercept form for the line satisfying the following conditions.

Question

x-intercept 3, y-intercept2/5

Answer 1

Using the slope form to find the slope of both intercepts:

 m=slope

m=(Y2-Y1)/(X2-X1)  Slope form

Let

(X1, Y1) = ( 3,0)           X intercept

(X2, Y2) = (0,2/5)       Y intercept

So that

             m=(2/5 - 0) / (0 -3)

                =(2/5) / (-3)

                =2/5 * (-1/3)

              m= -2/15

Finally By slope intercept form

                y=mx + b

                m=-2/15

                b= y intercept=2/5

The solution is: y = -2/15 X + 2/5

Answer 2

Given intercepts are x - intercept = 3 and y - intercept = 2/5

Points are

The formula for finding slope is

Substitute the values

Therefore the slope intercept form of line equation is

Here

Take L.C.M

Therefore the required line equation is

Answer 3

The intercept form of a line equation is x /a + y /b = 1, where, a is x - intercept,  and b is y - intercept.

x - intercept (a ) = 3

y - intercept (b ) = 2/5.

The line equation in intercept - form. is x /3 + y /(2/5) = 1.

Write the equation in slope - intercept form : y = mx + b, where m is slope and b is y - intercept.

x /3 + 5y /2 = 1

(2x + 15y )/6 = 1

2x + 15y = 6

15y = - 2x + 6

y = (- 2/15)x + (6/15)

y = (- 2/15)x + (2/5).

The line equation in slope - intercept - form is y = (- 2/15)x + (2/5).