Question

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

Answer 1

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

$2 = \frac{5}{3} + c \\ c = 2 - \frac{5}{3} \\ c = \frac{1}{3}$

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