Find the slope of a line perpendicular to the line whose equation is 10, x, minus, 12, y, equals, minus, 2410x−12y=−24
To find the slope of a line perpendicular to the given line, we need to find the slope of the given line first.
The equation of the given line is 10x - 12y = -24.
To find the slope of this line, we can rearrange the equation into slope-intercept form (y = mx + b).
Starting with 10x - 12y = -24:
-12y = -10x - 24
y = (10/12)x + 2
y = (5/6)x + 2
Now we can see that the slope of the given line is 5/6.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
So, the slope of the line perpendicular to the given line is -6/5.