Answer:
y= -⅓x +⅓
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
This form is also known as the point-slope form.
Since the slope is given to be -⅓, m= -⅓.
y= -⅓x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -5, y=2,
2= -⅓(-5) +c
[tex]2 = \frac{5}{3} + c \\ c = 2 - \frac{5}{3} \\ c = \frac{1}{3} [/tex]
Thus, the equation of the line is y= -⅓x +⅓.
