Find the equation of the line through the points (-4,-6) and (2,6)

Answer 1

You can find the slope by dividing the change in the y-coordinates by the change in the slope coordinates. Then you can put information into the slope intercept from of the linear equation y = mx + b, (x, y) and m=slope and b = y-intercept. Once you solve for "b" you can write the equation with the information that you have just calculated.

Answer 2

The equation of a line takes the general form y = mx + b, where m is the slope and b is the y intercept. Since we are given two points on the line, we can calculate the slope by taking the difference in y coordinates divided by the difference in x coordinates: [6-(-6)]/[2-(-4)] = 2.To get the intercept, you can substitute either of the given coordinates into the line equation and solve for b; either b = y1-m*x1 or b = y2 - m*x2.

An alternative way of doing this is to write a system of equations:

1. y1 = m*x1 + b
2. y2 = m*x2 + b

You could now solve equation 1 for m: m = (y1-b)/x1, substitute this in for m in equation 2, and solve for b. Then, substitute b back into equation 1 and solve for m.