Graph the line y=x+2: plot y-intercept at (0, 2) and use slope 1 for another point. Draw line.
To graph the line 6x - 4y = 2x + 8, we need to rearrange it into the slope-intercept form, which is
y=mx+b, where
m is the slope and b is the y-intercept.
Starting with the given equation:
6x−4y=2x+8
Combine like terms:
4y=4x+8
Divide both sides by 4 to solve for y:
y=x+2
Now the equation is in slope-intercept form. The slope (m) is 1, and the y-intercept (b) is 2.
To graph the line, plot the y-intercept at (0, 2), and then use the slope to find another point. The slope of 1 means that for every unit increase in x, y increases by 1.
Here's how you can plot the line:
Plot the y-intercept at (0, 2).
Use the slope to find another point. For example, if you move 1 unit to the right from the y-intercept, you would be at (1, 3).
Draw a straight line passing through both points.
Your graph should look like a straight line with a slope of 1 passing through the point (0, 2).