Graph this line using the slope and \( y \)-intercept \[ y=-7 x+10 \] Click to select points on the graph.

Sure! Let's graph the line given by the equation: \[ y = -7x + 10 \] This equation is in **slope-intercept form**, which is: \[ y = mx + b \] where: - \( m \) is the **slope** of the line. - \( b \) is the **y-intercept** (the point where the line crosses the y-axis). ### Step 1: Identify the Slope and Y-Intercept From the equation \( y = -7x + 10 \): - **Slope (\( m \))**: \(-7\) - **Y-Intercept (\( b \))**: \(10\) ### Step 2: Plot the Y-Intercept Start by plotting the y-intercept on the graph. - **Point**: \( (0, 10) \)  ### Step 3: Use the Slope to Find Another Point The slope \( m = -7 \) can be interpreted as: - **Rise**: \(-7\) (down 7 units) - **Run**: \(1\) (right 1 unit) From the y-intercept \( (0, 10) \): 1. **Run 1 unit to the right**: \( x = 0 + 1 = 1 \) 2. **Rise \(-7\) units**: \( y = 10 - 7 = 3 \) - **Second Point**: \( (1, 3) \)  ### Step 4: Draw the Line Connect the two points \( (0, 10) \) and \( (1, 3) \) with a straight line. Extend the line in both directions.  ### Summary of Points to Plot - **Y-Intercept**: \( (0, 10) \) - **Using Slope**: \( (1, 3) \) - **Alternatively**, you can find another point by moving **left** instead: - **Run -1 unit**: \( x = 0 - 1 = -1 \) - **Rise +7 units**: \( y = 10 + 7 = 17 \) - **Another Point**: \( (-1, 17) \) Plot these points and draw the line through them to complete the graph of \( y = -7x + 10 \). If you're using graphing software or an online graphing tool, you can input the equation \( y = -7x + 10 \) directly to visualize the line.