graph each of the following equations below using their intercepts?.
25x + 50y - 100 = 0
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 25x + 50y - 100 = 0 using intercepts, we first need to find the intercepts. The y-intercept occurs when x is zero, so we substitute x = 0 into the equation and solve for y:
25(0) + 50y - 100 = 0
50y - 100 = 0
50y = 100
y = 100/50
y = 2
So the y-intercept is (0, 2).
Next, we find the x-intercept by setting y = 0 and solving for x:
25x + 50(0) - 100 = 0
25x - 100 = 0
25x = 100
x = 100/25
x = 4
Therefore, the x-intercept is (4, 0).
Now that we have the intercepts, we can plot these points on a coordinate plane: (0, 2) and (4, 0).
We can then connect the two points to create a straight line.
The graph of the equation 25x + 50y - 100 = 0 will be a straight line passing through the points (0, 2) and (4, 0).