To graph the equation 10x + 2y = 6, we can rearrange it to solve for y in terms of x.
10x + 2y = 6
2y = -10x + 6
y = -5x + 3
Now we have the equation in slope-intercept form, where the coefficient of x (-5) is the slope, and the y-intercept is 3.
To graph this equation, we will plot the y-intercept (0, 3), and then use the slope to find additional points.
Using the slope of -5, we can find the next point by moving 1 unit to the right and 5 units down from the y-intercept. This gives us the point (1, -2).
Plotting these two points and drawing a line through them will give us the graph of the equation 10x + 2y = 6.
Here is a graph of the equation:
10x+2y=6
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