To graph the line, we need to plot the given point on the coordinate plane and then use the slope to determine the direction and steepness of the line.
1. Plot the point (-1, 0) on the coordinate plane. This is the starting point of the line.
2. The slope of the line is 2/3. This means that for every increase of 2 units in the horizontal direction (x-axis), the line will increase by 3 units in the vertical direction (y-axis).
3. To apply the slope, start from the given point (-1, 0) and move 2 units to the right (as the numerator of the slope is positive) and 3 units up (as the denominator of the slope is positive). This gives us the next point as (1, 3).
4. Plot the second point (1, 3) on the coordinate plane.
5. Draw a straight line passing through both of the points (-1, 0) and (1, 3). This line represents the equation of the line with the given slope and point.
The graph of the line through (-1, 0) with a slope of 2/3 would look like this:
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Graph the line with the given point and slope.
The line through (negative 1,0) with slope two thirds
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