Graph this line:y+1=–4x
Solution
Sure, here are the steps to graph the line y + 1 = -4x:
Step 1: Rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this case, subtract 1 from both sides to get y = -4x - 1.
Step 2: Identify the slope and the y-intercept. The slope (m) is -4 and the y-intercept (b) is -1.
Step 3: Plot the y-intercept on the y-axis. In this case, you would plot a point at (0, -1).
Step 4: Use the slope to find another point on the line. Since the slope is -4, this means that for every 1 unit you move to the right on the x-axis, you move down 4 units on the y-axis. So, starting from the y-intercept (0, -1), move 1 unit to the right and 4 units down to plot your second point at (1, -5).
Step 5: Draw a straight line through the two points. This is the graph of the line y = -4x - 1.
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