Questions: Graph this equation using the slope and the y-intercept: y = -(7/4)x - 3 Use the graphing tool on the right to graph the equation. Use the slope and y-intercept when drawing the line.

Graph this equation using the slope and the y-intercept:

y = -(7/4)x - 3

Use the graphing tool on the right to graph the equation. Use the slope and y-intercept when drawing the line.
Transcript text: ATH333-A22 FA 2024 Section 1.3 Homework Question 24, 1.3.VQ-4 HW Score: 87.65%, 23.67 of 27 points Points: 0 of 1 Watch the video and then solve the problem given below. Click here to watch the video Graph this equation using the slope and the y-intercept: $y = -\frac{7}{4}x - 3$ Use the graphing tool on the right to graph the equation. Use the slope and y-intercept when drawing the line. Click to enlarge graph
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Solution

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Solution Steps

I cannot see the details of the problem clearly from the image provided. However, I can guide you on how to solve a typical problem involving graphing an equation using the slope and y-intercept. Here is a general approach:

Step 1: Identify the Slope and Y-Intercept
  • The equation of a line is usually given in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
  • Identify the values of \( m \) and \( b \) from the equation.
Step 2: Plot the Y-Intercept
  • On the graph, locate the y-intercept (\( b \)) on the y-axis and plot this point. This is where the line crosses the y-axis.
Step 3: Use the Slope to Find Another Point
  • The slope \( m \) is the ratio of the rise (change in y) over the run (change in x). For example, if \( m = 2 \), it means for every 1 unit you move to the right on the x-axis, you move 2 units up on the y-axis.
  • Starting from the y-intercept, use the slope to find another point on the line. Plot this second point.
Step 4: Draw the Line
  • Draw a straight line through the two points plotted. This line represents the equation of the line.

Final Answer

  • The graph of the equation is now complete with the line passing through the y-intercept and following the slope.
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