I need the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5.

Question

Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5. Include your work in your final answer.

Answer 1

The problem gives an equation of a line in Standard From (Ax+By=C): 

       2x + y = -5

 

All lines parallel to it have the same slope (-A/B), so they fit the equation: 

       2x + y = D

 

Now, the point (2,0) [note:  the x-intercept is the value of x when y=0] is needed to find D.

     2(2) + 0 = D

           4 = D

 

The equation of the parallel line (in Standard Form) is:    2x + y = 4

   (Note:  In slope-intercept form, this is y=-2x+4)

Answer 2

I need the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5.
Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5. Include your work in your final answer.

 

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"parallel"means "same slope".

let's find, first, the slope of the given line: rewrite the equation in standard form,

that is -

 

y=-2x-0.5

 

This means the slope of the required line is "-2"

 

Now, just plugin the numbers into standard equation:

 

y=slope*x+intercept

you'll end up with

 

y=-2x+2

 

You are there ...