tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

Question

y=6x+2 and 18x-3y=15

Answer 1

To determine if two lines are parallel or perpendicular, we can examine their slopes.

The first equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope of the first equation is 6.

The second equation is in standard form, Ax + By = C. We can rearrange this equation to slope-intercept form by isolating y.

18x - 3y = 15
-3y = -18x + 15
y = 6x - 5

Comparing the slopes of the two equations, we see that they both have a slope of 6. Therefore, the lines represented by these equations are parallel.