Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y ミー4x + 3
-2x + 8y=5
To determine whether two lines are parallel, perpendicular, or neither, we need to compare their slopes.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line.
For the first equation, y = -4x + 3, we can see that the slope, m, is -4.
For the second equation, -2x + 8y = 5, we need to rewrite it in slope-intercept form. Let's isolate y:
-2x + 8y = 5
8y = 2x + 5
y = (2/8)x + 5/8
y = (1/4)x + 5/8
In this equation, the slope, m, is 1/4.
Now, we can compare the slopes:
-4 and 1/4 are not the same, which means the lines are neither parallel nor perpendicular.