Graph the line through (−3,0) with
m=2.
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Use the graphing tool on the right to graph the line.
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To graph the line through (−3,0) with a slope of 2, start by plotting the given point on the graph. The point (−3,0) is the x-intercept, so plot it on the x-axis at -3.
Next, use the slope of 2 to determine the direction of the line. Since the slope is positive, the line will be upward sloping.
To find additional points on the line, you can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
Since the line passes through the point (−3,0) and has a slope of 2, the equation of the line is y - 0 = 2(x - (-3)). Simplifying this equation gives y = 2x + 6.
Using this equation, you can find the y-values for other x-values to plot more points on the graph. For example, when x = -4, y = 2(-4) + 6 = -2. So the point (-4, -2) is on the line.
Continue finding more points using this equation and plot them on the graph.
The final graph should show a line passing through the point (−3,0) and increasing as you move from left to right.
To graph the line with a slope (m) of 2 passing through the point (-3, 0), follow these steps:
1. Plot the given point (-3, 0) on the graph by moving 3 units to the left on the x-axis and marking the point at y = 0.
2. Since the slope (m) is 2, start from the given point (-3, 0) and move 1 unit up and 2 units to the right. This gives you another point on the line.
3. Repeat step 2 to find more points on the line. For example, from the second point, move 1 unit up and 2 units to the right to find another point.
4. Connect all the points you found with a straight line. This line represents the equation y = mx + b, where m is the slope and b is the y-intercept.
The final graph should show a line that passes through the point (-3, 0) and slants upwards with a slope of 2.
To graph the line through the point (-3, 0) with a slope of 2, follow these steps:
1. Place a point on the coordinate plane at (-3, 0). This is the given point on the line.
2. Start at the given point (-3, 0) and use the slope (m = 2) to find another point on the line. Since the slope is positive, you can move up 2 units along the y-axis and move right 1 unit along the x-axis. This gives you the point (-2, 2).
3. Plot the second point (-2, 2) on the graph.
4. Draw a straight line through the two plotted points (-3, 0) and (-2, 2).
The resulting line will pass through the point (-3, 0) and have a slope of 2.