y=-2/3x-12
What is the question ?
what is the slope and y-intercept of the line y=-2/3x-12
The given equation is in slope-intercept form, which is y = mx + b, where m represents the slope of the line and b represents the y-intercept.
In the given equation, y = (-2/3)x - 12, the coefficient of x (-2/3) represents the slope. So, the slope of the line is -2/3.
The y-intercept is the value of y when x is 0. In this equation, the y-intercept is -12. Therefore, the line intersects the y-axis at the point (0, -12).
To graph the equation, start by plotting the y-intercept on the coordinate plane at (0, -12). Then, use the slope to find additional points on the line. The slope represents the ratio of the vertical change (rise) to the horizontal change (run).
For example, if you move 3 units to the right (run) and 2 units down (rise) from the y-intercept, you will arrive at the point (3, -14). Similarly, if you move 6 units to the right (run) and 4 units down (rise), you will arrive at the point (6, -16). By connecting these points, you can draw a straight line that represents the equation y = (-2/3)x - 12.
Note that you can find more points by choosing any value for x and substituting it into the equation to determine the corresponding y-coordinate.