Question

Select the correct answer. What is the equation of a line passing through (-6, 5) and having a slope of 1 3 ? A. y = 1 3 ⁢ x − 23 3 B. y = 1 3 ⁢ x − 3 C. y = 1 3 ⁢ x + 7 D. y = 3x + 7 Reset Next

Answer 1

C

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m =
`(1)/(3)` , then

y =
`(1)/(3)` x + c ← is the partial equation

to find c substitute (- 6, 5 ) into the partial equation

5 =
`(1)/(3)` (- 6) + c = - 2 + c ( add 2 to both sides )

7 = c

y =
`(1)/(3)` x + 7 ← equation of line