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
Thus, the equation of the line is y= -⅓x +⅓.
On a number line, -5 is to the left of 0.
Remember, on a number line, positive numbers (including fractions, decimals and surds) are to the right of 0:
----------------------------------------------------------------------->
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Negative numbers (including rational and irrational numbers) are to the left of 0:
<-----------------------------------------------------------------
-8 -7 -6 -5 -4 -3 -2 -1 0
Hope it helps! Enjoy your day!
~Just a determined gal