Question

What is the slope of a line parallel to the line whose equation is 2x + 4y = 56. HELP ASAP

Answer 1

Answer:

Let's put this equation in standard form...

$2x+4y=56\\4y=56-2x\\y=14-0.5x$

If it is parallel, it would have the SAME slope but ANY OTHER y-intercept!!

For example...

$y=-0.5x+304\\y=-0.5x-67$

Hope this helps!!

Answer 2

Hi there !

Lets first try to write given line in slope intercept form which is -

❄︎$\green{ \underline { \boxed{ \sf{y=mx+c}}}}$

Here-

• m = slope of line
• c = intercept cut on y- axis

Proceeding-

✰2x + 4y = 56

➪ 4y = -2x +56

➪ y =$\dfrac{ -2x +56}{4}$

➪ y =$\dfrac{ -2x }{4}+ \dfrac{56}{4}$

➪ y =$\dfrac{ -x }{2}+ 14$

➪ y =$\dfrac{ -1}{2}x + 14$

Comparing with slope intercept form -

❄︎$\red{ \underline { \boxed{ \sf{m = - \frac{1}{2}}}}}$

Now,

✪ Since the parallel lines have same inclination with positive x-axis , their slopes are equal.

❀ So, the slope of a line parallel to the line whose equation is 2x + 4y = 56 would be $-\dfrac{1}{2}$