Answer:
y= -⅕x -7
Explanation:
The slope of a perpendicular line is the negative reciprocal of that of the given line.
That is, if the slope of the given line is m, then the slope of the perpendicular line is
.
Another way to remember it is that the product of the slopes of two perpendicular lines is -1.
Given equation: y= 5x +9
This equation is in the slope-intercept form, thus its slope is the coefficient of x.
Slope= 5
Slope of perpendicular line= -⅕
Hence we should look for an equation with -⅕ as the coefficient of x, since all the options given are in slope-intercept form.
Thus, y= -⅕x -7 is the correct option.
What is slope- intercept form?
- y= mx +c, where m is the slope and c is the y-intercept