Which is an equation of the given line in standard form? –11x + 6y = –13 –6x +11y = 13 –6x + 11y = –13 –6x + 7y = –17

Question

linear inequality graph

Which is an equation of the given line in standard form?

        

Which is an equation of the given line in standard form?

		–11x + 6y = –13
		–6x +11y = 13
		–6x + 11y = –13
		–6x + 7y = –17

–11x + 6y = –13


–6x +11y = 13


–6x + 11y = –13


–6x + 7y = –17

Answer 1

Hi Alyssa,

 

The slope of the line is given by [2 - (-1)]/[3/2 - (-4)] = 6/11

 

Choosing the point (-4, -1) along with the slope to apply the point slope formula results in:

 

y + 1 = 6/11 (x + 4)

 

Multiplying both sides of the equation by 11 in order to eliminate the fraction results in:

 

11y + 11 = 6x + 24

 

Or,

 

6x - 11y = -13  (this is the answer that is normally defined as standard form (with the coefficient of x > 0)

 

But this is OK too and matches one of the choices:

 

-6x + 11y = 13

 

Be sure to look up the formulas for finding slope between two points and the point-slope formula for the equation of a line when the slope and a point are known.