To find the equation of the line given by y = -2/3x - 1, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope of the line and b represents the y-intercept.
In this case, the slope (m) is -2/3, and the y-intercept (b) is -1. Therefore, the equation of the line is:
y = -2/3x - 1
The equation y = -2/3x - 1 represents a line with a slope of -2/3, which means that for every 3 units you move to the right (in the positive x-direction), you will move 2 units down (in the negative y-direction) to stay on the line. The y-intercept of -1 indicates that the line intersects the y-axis at the point (0, -1).
So, in summary, the equation of the line is y = -2/3x - 1, where the slope is -2/3 and the y-intercept is -1.
