Write the equation of a line through (0,-3) in standard form.

Question

The slope is equal to 2/5 

Answer 1

The Standard Form of the equation of a line looks like:  Ax+By=C

 

Now, once and forever, convert this to slope-intercept form and determine that the slope m=(-A/B).  [Remember this, PLZ -- it saves a lot of time!]

 

If the slope is 2/5, the equation of the line is:  2x - 5y = C

            and we need point (0.-3) to find C.

      2(0) - 5(-3) = C

               15 = C

The equation of the line, in Standard Form, is:  2x -5y = 15

Answer 2

Hi Montana,

 

 

  Write the equation of a line through (0,-3) in standard form.
The slope is equal to 2/5

Standard form of a linear equation is Ax+By=C where A,B, and C are integers and A>0.  No fractions; no decimals

 

First we need to use slope intercept form to find the y-intercept.

 

y=mx+b

y=2/5x+b  now substitute in the given point

-3=2/5(0)+b

-3=0+b

-3=b  this is the y-intercept

 

now we have y=2/5x-3

Next standard form

first mover the x-term to the left by adding -2/5x to both sides

-2/5x+y=-3   

 

Multiply the entire equation by -5 to get rid of the negative and the 5 in the denominator.

 

-5[-2/5x+y=-3]   remember to distribute the -5 to all three terms

2x-5y=15  Standard Form

 

 

ANSWER:  2x-5y=15

 

We're finished!

Answer 3

y-y₁ = m(x-x₁)

 

y-(-3) = (2/5)(x-0)

 

y = (2/5)x - 3