Question

Use slopes and y-intercept s to determine if the lines y=(x)/(2)+5 and x-2y=3 are parallel.

Answer 1

To determine if the lines y=(x)/(2)+5 and x-2y=3 are parallel, we can compare their slopes. Both lines have the same slope of 1/2, so they are parallel.

Step-by-step explanation:

To determine if the lines y=(x)/(2)+5 and x-2y=3 are parallel, we can compare their slopes.

The first line is in slope-intercept form, y=mx+b, where m is the slope.

In this case, the slope is 1/2. The second line can be rearranged to the form y=mx+b, where m is the slope.

In this case, the slope is 1/2 as well.

Since both lines have the same slope, they are parallel.