What is an equation of the line that passes through the points (- 8, - 6) and (3, - 6) ?

Answer 1

y = -6

There's no x in the equation because the line has a slope of zero (it's flat when you look at it on a graph). The equation would be y = 0x - 6

0 times anything is zero, so we can remove the 0x.

y = -6 is the simplified form of the equation :-)

Answer 2

Equation of line is of the form y = mx + b, where m is slope and b is the y-intercept. You need to find m and b.

First determine the slope (m) using equation (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are two points.

Here (x1,y1) is (-8,-6) and (x2,y2) is (3,-6).

To solve for b, plug in the computed value of m, and either of the two pairs of coordinates for x and y, e.g., plug in -8 for x and -6 for y.