Question

Rewrite each equation in slope - intercept form . Then determine whether the lines are parallel . Explain your answer ... 4x + 5y = 158x + 4y = 4

Answer 1

ANSWER and EXPLANATION

We are given the two equations:

4x + 5y = 15

and

8x + 4y = 4

To rewrite it in the slope-intercept form, we have to write them in the form:

y = mx + c

where m = slope

c = y intercept

Therefore, we have that 4x + 5y = 15 becomes:

4x + 5y = 15

=> 5y = - 4x + 15

Divide through by 5:

y = (-4/5)x + 15/5

y = -0.8x + 3

8x + 4y = 4 becomes:

8x + 4y = 4

=> 4y = -8x + 4

Divide through by 4:

y = (-8/4)x + 4/4

y = -2x + 1

For two lines to be parallel, their slopes (m) must be equal.

From the two equations given, the slopes are not equal, so they are not parallel.