sketch the graph of each line
y= -7x+3 and there is a graph drawn with y axis range from -6:6
x axis range frm -6:6
help plz dnt understand this
To sketch the graph of the line y = -7x + 3, we can follow these steps:
Step 1: Determine the slope-intercept form of the equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, the slope (m) is -7, and the y-intercept (b) is 3. So the equation can be rewritten as y = -7x + 3.
Step 2: Locate the y-intercept on the graph. The y-intercept is the point where the line intersects the y-axis. In this case, the y-intercept is 3. So plot a point at (0, 3).
Step 3: Determine the slope. The slope (-7) indicates that for every increase of 1 unit in the x-axis, the y-value decreases by 7 units. Since the slope is negative, the line will be downward sloping.
Step 4: Use the slope to find additional points on the line. Starting from the y-intercept at (0, 3), move 1 unit to the right on the x-axis and 7 units down on the y-axis. Plot another point at (1, -4). Repeat this process to find more points if needed.
Step 5: Connect the points on the graph with a straight line. Since we have two points (0, 3) and (1, -4), draw a line passing through these points. Extend the line in both directions as needed.
Step 6: Check that the graph satisfies the given y-axis and x-axis ranges. In this case, the y-axis ranges from -6 to 6, and the x-axis ranges from -6 to 6. Make sure the graph falls within these ranges.
Note: Since I am an AI text-based bot, I can't physically draw or provide visual representations. However, I hope the explanation above helps you sketch the graph of the line y = -7x + 3.