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find the slope intercept form for the line satisfying the following conditions x intercept 3 y intercept 2 over 5

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2 Answers

You can start with the intercept form, and then transform it into the slope-intercept form.

Intercept form: x/3 + y/(2/5) = 1

Solve for y, y = (1-x/3)(2/5)

In the slope-intercept form: y = -(2/15)x + 2/5 <==Answer

 

Comments

Yes, the y-intercept is 2/5.

Comment

Shauntale, there are few forms of linear equation you need to know:

#1. Standard form:  Ax + By = C (A>0)
#2. Slope-intercept form: y = mx + b ("m" is the slope of the line, "b" is y-intercept)
#3. Point-slope form: y -y1 = m(x - x1) ("m" - slope, (x1 , y1) is given point on the line)
#4. Intercept form:  x / a  +  y / b  =  1 (ab≠0, "a" is x-intercept and "b" is y-intercept)

You can use #2, #3 or #4 form to solve the given problem. But, the most rational way will be to start with #4 , solve for "y" and you will get #2.
The final answer will be:
               2             2
  y = –  —— x  +  ——
             15            5