Graph each of the following equation, using the intercept method.
2x + 3y = 6
so the solutions are (0,2) and (3,0)
yes.
To graph the equation 2x + 3y = 6 using the intercept method, we need to find the x-intercept and the y-intercept.
To find the x-intercept, we set y = 0 and solve for x:
2x + 3(0) = 6
2x = 6
x = 3
So the x-intercept is (3, 0).
To find the y-intercept, we set x = 0 and solve for y:
2(0) + 3y = 6
3y = 6
y = 2
So the y-intercept is (0, 2).
Now we can plot these two points on a graph and draw a straight line passing through them. The x-intercept (3, 0) is where the line intersects the x-axis, and the y-intercept (0, 2) is where the line intersects the y-axis.
To graph the line accurately, you can use a ruler to connect the two points (0, 2) and (3, 0) with a straight line. The line should pass through both points.
After plotting the line passing through the points (0, 2) and (3, 0), you have successfully graphed the equation 2x + 3y = 6 using the intercept method.