A relationship between x and y is defined by the equation y=−3x+12. Which statements are true of this relationship? Select ALLthat apply.
it is linear
more to come -- watch this space!
alepando es gei
To determine which statements are true of the relationship defined by the equation y = -3x + 12, let's analyze the equation:
1. The coefficient of x is -3: This means that as x increases by 1, y will decrease by 3 units.
2. The constant term is 12: This means that when x is equal to 0, y will be equal to 12.
3. The equation is in slope-intercept form, y = mx + b: This means that the slope of the line is -3, and the y-intercept (where the line crosses the y-axis) is (0, 12).
Based on this information:
- The slope is negative, meaning the line will have a negative slope.
- The line will intersect the y-axis at (0, 12).
- As x increases, y will decrease.
- As x decreases, y will increase.
Therefore, the statements that are true of this relationship are:
- The slope of the line is negative.
- The line intersects the y-axis at (0, 12).
- As x increases, y will decrease.