What is an equation for the line with slope (rate of

change) 2/3 and y-
intercept 9?

1 answer

The equation of the line with slope 2/3 and y-intercept 9 can be written in point-slope form as:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line. In this case, the y-intercept (0, 9) can be used as the point.

Plugging in the values, we get:

y - 9 = (2/3)(x - 0)

Simplifying further:

y - 9 = (2/3)x

This equation can also be written in slope-intercept form (y = mx + b):

y = (2/3)x + 9