which equation represents a line that passes through (9,5) and is perpendicular to this line? y=1/5x+3
+23245 The slope of this line is 1/5.
The slope of a line perpendicular to this has a negative reciprocal slope: slope = -5.
Now, you know the slope of the new line and a point that it passes through, so use the slope-intercept form:
y - y1 = m(x - x1) where m = -5, x1 = 9, and y1 = 5.
Substitute and simplify.
+23245 The slope of this line is 1/5.
The slope of a line perpendicular to this has a negative reciprocal slope: slope = -5.
Now, you know the slope of the new line and a point that it passes through, so use the slope-intercept form:
y - y1 = m(x - x1) where m = -5, x1 = 9, and y1 = 5.
Substitute and simplify.
