We can determine if the lines are parallel or perpendicular by examining their slopes.
The first equation is in slope-intercept form (y = mx + b) where m represents the slope of the line. Comparing this equation to the given equation, we see that the slope (m) is -4.
The second equation is given in standard form (Ax + By = C), where A, B, and C are constants. To find the slope of this equation, we can rearrange it to slope-intercept form:
-2x + 8y = 5
8y = 2x + 5
y = (2/8)x + 5/8
y = (1/4)x + 5/8
Now we can compare the slopes:
The slope of the first equation is -4.
The slope of the second equation is 1/4.
Since these slopes are not equal, the lines are neither parallel nor perpendicular. Therefore, the answer is C. neither.
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = –4x + 3
–2x + 8y = 5
A. parallel
B. perpendicular
C. neither.
1 answer