what is the slope and y-intercept of the line y=-2/3x-12
To find the slope and y-intercept of the given line y = (-2/3)x - 12, we can compare it to the standard equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the equation y = (-2/3)x - 12 is already in the standard form. So, we can identify the slope and y-intercept directly.
The slope (m) of the line is the coefficient of x, which in this case is -2/3. So, the slope of the line is -2/3.
The y-intercept (b) of the line is the point where the line crosses the y-axis, which is the constant term in the equation. In this case, the constant term is -12. So, the y-intercept of the line is -12.
Therefore, the slope of the line y = (-2/3)x - 12 is -2/3, and the y-intercept is -12.