How to graph y= x+4
what is y when x is zero?
What is y when x is 5?
plot those two points, connect the points.
How to plot y=2x+4
To graph the equation y = x + 4, you can follow these steps:
Step 1: Create a table of values:
Choose some numerical values for x and substitute them into the equation to find the corresponding y values. For example, let's choose x = -2, -1, 0, 1, and 2:
When x = -2, y = -2 + 4 = 2
When x = -1, y = -1 + 4 = 3
When x = 0, y = 0 + 4 = 4
When x = 1, y = 1 + 4 = 5
When x = 2, y = 2 + 4 = 6
Step 2: Plot the points on a graph:
Take the x and y values from your table and plot them as points on a coordinate plane. For example:
(-2, 2), (-1, 3), (0, 4), (1, 5), (2, 6)
Step 3: Connect the points:
Using a straightedge or ruler, draw a line that passes through all the plotted points. Make sure the line extends beyond the points to show that it extends infinitely in both directions.
Step 4: Label the line:
Write the equation next to the line to show that it represents the equation y = x + 4.
The resulting graph will be a straight line that slants diagonally upwards from left to right, with a y-intercept of 4 (where the line crosses the y-axis) and a slope of 1 (the coefficient of x).