X-intercept: (-6, 0); Y-intercept: (0, 3). Connect to plot the line representing -5x + 10y = 30.
To graph the equation -5x + 10y = 30, let's find its intercepts: the x-intercept and the y-intercept.
1. X-intercept (when y = 0):
To find the x-intercept, substitute y = 0 into the equation and solve for x.
-5x + 10y = 30
-5x + 10(0) = 30
-5x = 30
x =
x = -6\)
The x-intercept is (-6, 0).
2. Y-intercept (when x = 0):
To find the y-intercept, substitute x = 0 into the equation and solve for y.
-5x + 10y = 30
-5(0) + 10y = 30
10y = 30
y = 3
The y-intercept is (0, 3).
Now, let's plot these intercepts on the coordinate plane.
The x-intercept (-6, 0) is located at -6 on the x-axis.
The y-intercept (0, 3) is located at 3 on the y-axis.
Once both intercepts are plotted, draw a straight line passing through these two points. This line represents the graph of the equation -5x + 10y = 30. Since the x-intercept is at -6 and the y-intercept is at 3, connect these points to form a straight line. This line represents all the points that satisfy the equation.