Respuesta :
Answer:
Don is not correct
Step-by-step explanation:
The slope of y = (3/4)x + 2 is m = 3/4. Compare the given equation to y = mx+b form and you'll see the 3/4 and m line up.
The equation y = 3/4 + 8x is the same as y = 8x + 3/4. We see the slope is a different value at m = 8.
Because the slopes are different, this means the lines are not parallel. Parallel lines always have equal slopes.
Don is wrong about his statement.
The given lines are not parallel.
Given that:
Two expressions: [tex]\dfrac{3}{4}x + 2[/tex] and [tex]\dfrac{3}{4} + 8x[/tex].
Don says both are parallel.
When are lines parallel?
If there are two straight lines [tex]y = ax + b[/tex] and [tex]y = mx + c[/tex],
then both straight line will be parallel only if m = a, which are slopes of those straight lines.
Since given lines have different slopes, thus both lines are not parallel.
Thus, Don is wrong here as both lines are not parallel.
Learn more about parallel lines here:
https://brainly.com/question/19300779
