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 intercepts, you need to find the x and y intercepts.
1. Y-intercept: To find the y-intercept, set x = 0 in the equation and solve for y:
0.2(0) - 0.5y = 2
-0.5y = 2
Divide both sides by -0.5:
y = -4
2. X-intercept: To find the x-intercept, set y = 0 in the equation and solve for x:
0.2x - 0.5(0) = 2
0.2x = 2
Divide both sides by 0.2:
x = 10
Now that you have the intercepts, plot the points (0, -4) and (10, 0) on the graph. These are the points where the equation crosses the x-axis and y-axis, respectively.
Finally, connect the two plotted points with a straight line to complete the graph.