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, we need to find the x and y intercepts first.
The y-intercept occurs when x is zero. To find the value of y when x is zero, substitute x = 0 into the equation:
0.2(0) - 0.5y = 2
0 - 0.5y = 2
-0.5y = 2
Divide both sides by -0.5 to solve for y:
y = -2 / 0.5
y = -4
Therefore, the y-intercept is (0, -4).
The x-intercept occurs when y is zero. To find the value of x when y is zero, substitute y = 0 into the equation:
0.2x - 0.5(0) = 2
0.2x = 2
Divide both sides by 0.2 to solve for x:
x = 2 / 0.2
x = 10
Thus, the x-intercept is (10, 0).
Now that we have found the intercepts, we can plot these points on a graph. Place a point at (0, -4) for the y-intercept and another point at (10, 0) for the x-intercept. Then, connect these two points with a straight line.