use the intercepts to graph the equation x+2y=4
To graph the equation x + 2y = 4 using intercepts, we need to find the x-intercept and y-intercept of the equation.
Step 1: Finding the x-intercept
To find the x-intercept, we set y to zero and solve for x:
x + 2(0) = 4
x = 4
So, the x-intercept is (4, 0).
Step 2: Finding the y-intercept
To find the y-intercept, we set x to zero and solve for y:
0 + 2y = 4
2y = 4
y = 2
So, the y-intercept is (0, 2).
Step 3: Plotting the intercepts
Now that we have the x-intercept (4, 0) and the y-intercept (0, 2), we can plot them on a coordinate plane.
First, draw the x and y-axis on the coordinate plane.
Next, locate the x-intercept (4, 0) on the x-axis and plot a point there.
Then, locate the y-intercept (0, 2) on the y-axis and plot a point there.
Step 4: Drawing the line
To complete the graph, draw a straight line connecting the two intercept points. The line extends infinitely in both directions.
Your graph should look like a line passing through the points (4, 0) and (0, 2).