graph of 5x-2y=6 value 0=2

graph of 5x-2y=6 value=0=2

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To graph the equation 5x - 2y = 6, we need to rewrite it in the slope-intercept form, which is y = mx + b.

Starting with the given equation:
5x - 2y = 6

We can first isolate the y-term by subtracting 5x from both sides:
-2y = -5x + 6

Next, divide the entire equation by -2 to solve for y:
y = (5/2)x - 3

Now that we have the equation in slope-intercept form, we can easily determine the graph. The slope of the line is 5/2, which means that for every 2 units we move horizontally (to the right), the line will rise 5 units vertically. The y-intercept is -3, which indicates that the line intersects the y-axis at the point (0,-3).

To plot the graph, start by plotting the y-intercept point (0,-3). Then, from that point, use the slope to find additional points on the line. For example, if we move 2 units to the right from the y-intercept, the line will rise 5 units. So, from (0,-3), move 2 units to the right to the point (2,2). Repeat this process to get more points.

Using the slope, we can also move 2 units to the left from the y-intercept. In this case, the line will fall 5 units. So starting from (0,-3), move 2 units to the left to get the point (-2,-8).

Once you have a few points, connect them with a straight line. This line represents all the points that satisfy the equation 5x - 2y = 6, and it will pass through all the plotted points.