Which equation represents the line that passes through (–6, 7) and (–3, 6)?

Answer 1

The slope of a line joining the two points is y2-y1 / x2-x1 which in this case is 6-7 / -3 - -6) = - 1/3.

The slope-intercept form of a line is y =mx +b where m is the slope and b in the y intercept.

y = -1/3 x +b. Now we need to find the b, the y intercept. To find b, substitute one of the given point into the last equation and solve for b.

6 = -1/3 * -3 + b

b = 5

The final equation is y = -1/3 x + 5

Answer 2

Hello,

You can find the equation by substituting the given variables (x1, y1), (x2, y2) to the slope equation,

y2- y1

____

x2- x1

Then substitute the slope into the slope-intercept equation, y = mx + b.

Hope that helps!