To find the slope of a line perpendicular to a given line, we need to find the negative reciprocal of the slope of the given line.
1) Given line: y = -1/2x - 2
The slope of this line is -1/2. The negative reciprocal of -1/2 is 2.
Therefore, the slope of a line perpendicular to y = -1/2x - 2 is 2.
2) Given line: y + 7 = 5/2(4x + 6)
To find the slope of this line, we need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope.
y + 7 = 5/2(4x + 6)
y + 7 = 10x + 15
y = 10x + 8
The slope of this line is 10. The negative reciprocal of 10 is -1/10.
Therefore, the slope of a line perpendicular to y + 7 = 5/2(4x + 6) is -1/10.
Find the slope of a line perpendicular to each given line.
Y = -1/2x - 2
y + 7 = 5/2(4x + 6)
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