Y= -0,7x-28

The equation you've provided is in the form of a linear equation, which can be expressed as \(y = mx + b\), where: - \(m\) is the slope of the line, - \(b\) is the y-intercept (the value of \(y\) when \(x = 0\)). For the equation \(y = -0.7x - 28\): - The slope (\(m\)) is \(-0.7\). - The y-intercept (\(b\)) is \(-28\). ### Key Points: 1. **Slope Interpretation**: A slope of \(-0.7\) indicates that for every unit increase in \(x\), \(y\) decreases by \(0.7\). This means the line is falling as you move from left to right. 2. **Y-Intercept**: The point where the line crosses the y-axis is at \((0, -28)\). 3. **Finding the X-Intercept**: To find the x-intercept, set \(y = 0\) and solve for \(x\): \[ 0 = -0.7x - 28 \] \[ 0.7x = -28 \] \[ x = -\frac{28}{0.7} = -40 \] So, the x-intercept is at \((-40, 0)\). 4. **Graphing**: - You can plot the y-intercept at \((0, -28)\). - You can also plot the x-intercept at \((-40, 0)\). - From the slope, you can plot additional points by moving 1 unit to the right and down 0.7 units to find more points on the line. ### Summary: The linear equation \(y = -0.7x - 28\) represents a line that decreases in value as \(x\) increases, with specific intercepts that can be plotted to visualize the line. If you have any specific questions or need further assistance with this equation or any related topics, feel free to ask!