Tell whether them lines, for each pair of equations are parallel, perpendicular, or neither.
y= -1/4x +10
-2x+8y=6
Perpendicular. They cross at (18,5)
To determine if two lines are parallel, perpendicular, or neither, we need to compare their slopes.
First, let's rewrite the second equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept:
-2x + 8y = 6
8y = 2x + 6
y = 2/8x + 6/8
y = 1/4x + 3/4
Now we can compare the slopes of the two lines:
The slope of the first line is -1/4.
The slope of the second line is 1/4.
Since the slopes are negative reciprocals of each other (opposite signs and inverse fractions), these lines are perpendicular to each other.
Therefore, the lines represented by the given pair of equations are perpendicular.