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.
Graph the line through (−3,0) with
m=2.
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Part 1
Use the graphing tool on the right to graph the line.
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1 answer
1 answer