Answer:
[tex]y = - \frac{1}{5} x + 7[/tex]
Step-by-step explanation:
Slope -intercept form:
y= mx +c, where m is the slope and c is the y- intercept.
Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of x.
Slope of given line= 5
The product of the gradients of two perpendicular lines is -1.
m(5)= -1
[tex]m = - \frac{1}{5} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{1}{5} x + c[/tex]
Substitute a pair of coordinates to find the value of c.
when x= 0, y= 7,
[tex]7 = - \frac{1}{5} (0) + c[/tex]
c= 7
Thus, the equation of the line is y= -⅕x +7.
