Question

Find the equation of a line that contains the points (−3,−1) and (−4,−7). Write the equation in slope-intercept form

Answer 1

Answer:

y =6x+17

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-7- -1)/(-4 - -3)

   = (-7+1)/(-4+3)

   -6/-1

   6

The slope intercept form of the equation is

y = mx+b  where m is the slope and b is the y intercept

y = 6x+b

Substitute a point into the equation

-1 = 6(-3) +b

-1 = -18+b

Add 18 to each side

17 =b

The equation is

y =6x+17