Question

The two points -3,6 and 6,0 are plotted on the grid below. a Find an equation, in y=mx+b form, for the line passing through these two points. Use of the grid is optional

Answer 1

The equation of the line passing through the points (-3,6) and (6,0) is y = -2/3x + 12.

Step-by-step explanation:

To find the equation of the line passing through the points (-3,6) and (6,0), we can use the point-slope form of the equation, which is y - y1 = m(x - x1). First, calculate the slope, m, which is equal to the change in y divided by the change in x, or (0 - 6)/(6 - (-3)) = -6/9 = -2/3. Next, choose one of the points, let's say (-3,6), and substitute the values of x1, y1, and m into the equation. We get y - 6 = (-2/3)(x - (-3)).

Simplifying this equation gives us y = -2/3x + 12.

Therefore, the equation of the line passing through the points (-3,6) and (6,0) is y = -2/3x + 12.