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swat32
3 years ago
8

Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. 3y = 2

x - 6

Mathematics
2 answers:
Over [174]3 years ago
5 0
First, let's write the given equation in slope-intercept form: y = mx + b

In slope-intercept form, the slope of the line is m, and the y-intercept is b. The slope is a measure of how steep the graph is at any point and is found by doing rise over run. This means the change in y values divided by the change in x values. Next, y-intercept is just where the graph crosses the y axis.

All we need to do to get the equation in slope-intercept form is to divide each term by 3. This will isolate the y.

y= \frac{2}{3}x-2

As you can see, the slope of the line is 2/3, and the y-intercept is -2.

To graph the line, plot a point at (0,-2). This is the point where the graph crosses the y axis. Then from that point, count up two and right 3. Plot a point here as well. Lastly, connect the two points with a straight line.

See attached picture for the graph.

AlexFokin [52]3 years ago
4 0
3y = 2x - 6÷3 both sides y=2/3x-2
equation:slope: 2/3 y intercept: -2
graph 1: slope: 2y intercept: 4
graph 2: slope: 2/3y intercept: -2
graph 3:slope: 1y intercept: -3
graph 4:slope: 0y intercept: -2
equation : graph 2
 
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4 0
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8 0
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