Question

What is the equation of the line that passes through the point (-3,7) and has a slope of -5/3

Answer 1

y = -
`(5)/(3)` x + 2

Explanation:

the equation of a line in slope- intercept form is

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

given slope m = -
`(5)/(3)` , then

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

to find c, substitute the point (- 3, 7 ) for x and y into the partial equation

7 = -
`(5)/(3)` (- 3) + c = 5 + c ( subtract 5 from both sides )

2 = c

y = -
`(5)/(3)` x + 2 ← equation of line