Question

Choose the equation that represents the line that passes through the point (−1, 6) and has a slope of −3.

Answer 1

Answer:

y = - 3x + 3

Step-by-step explanation:

The equation of a line in slope intercept form is

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

here m = - 3, hence

y = - 3x + c ← is the partial equation of the line

To find c substitute (- 1, 6 ) into the partial equation

6 = 3 + c ⇒ c = 6 - 3 = 3

y = - 3x + 3 ← equation of line

Answer 2

Answer:

Step-by-step explanation:

The equation of a line is y=mx+b, where m is the slope and b is the y-intercept. y and x are the y and x values of any point respectively.

The information we have:

y = 6

x = -1

m = -3

6 = -3*-1 + b

6 = 3 + b

b = 3

So now we know that m = -3 and b = 3

y and x were 6 and -1 in this case but we need an equation that works for any point on the line so we can keep y and x just as it is (variables, not numbers).

The final equation is:

y = -3x + 3