Question

Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?

Answer 1

y= -⅓x +⅓

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

`2 = (5)/(3) + c \\ c = 2 - (5)/(3) \\ c = (1)/(3)`

Thus, the equation of the line is y= -⅓x +⅓.