find the x intercept and ty intercept of the line 2x-2y=-4 graph the iqua

Question

Please I really need that

Answer 1

The equation  2x-2y=-4 is given in Standard Form (Ax+By=C) of the equation of a line.  It is the same as:  x-y=-2.

 

In slope-intercept form, Ax+By=C  is:   y= (-A/B)x + (C/B) = mx + b.   The slope m=-A/B and the y-intercept is C/B.  PLZ remember that so we don't have to do it again and again and again.

 

Also, the x-intercept (the value of x when y=0) is (C/A).   Cool!

 

The x-intercept of 2x-2y=-4 (or x-y=-2) is C/A = -4/2 = -2.   The point (-2,0).

The y=intercept is C/B = -4/-2 = 2.      The point (0,2).

 

Two points determine a line.  Draw a line going through (-2,0) and (0,2).

Answer 2

To find y-intercept, solve the equation for x. To find the x-intercept, solve for y! The constant in the equation is the intercept.

 

2x - 2y  = -4

     + 2y       + 2y

--------------------

2x = 2y + -4

 2      2      2

 

x = y + -2 ................... y-intercept is -2

 

Then solve for y. (I'm using the simplified equation above.)

 

x        = y + -2

    + 2       + 2  

--------------------

x + 2 = y ................. the x-intercept is 2