Graph each of the following equations below using their intercepts?.
0.2x - 0.5y = 2
find the intercepts
Y intercept is when x is zero
x intercept is when y is zero.
plot those points, connect the dots.
To graph the equation 0.2x - 0.5y = 2 using its intercepts, we first need to find the x and y intercepts. The y-intercept occurs when x is zero and the x-intercept occurs when y is zero.
To find the y-intercept, we set x to zero in the equation:
0.2(0) - 0.5y = 2
-0.5y = 2
Divide both sides by -0.5:
y = -4
So, the y-intercept is (0, -4).
Next, to find the x-intercept, we set y to zero in the equation:
0.2x - 0.5(0) = 2
0.2x = 2
Divide both sides by 0.2:
x = 10
Therefore, the x-intercept is (10, 0).
Now, we can plot these points on a graph. Mark the y-intercept at (0, -4) and the x-intercept at (10, 0). Finally, connect these two points with a straight line.
The graph of the equation 0.2x - 0.5y = 2 using its intercepts will be a straight line passing through (0, -4) and (10, 0).