Answer:
To solve the equation y = 2x + 10, we can follow these steps:
Start with the equation: y = 2x + 10
Choose a value for x. Let's say x = 0.
Substitute the value of x into the equation to find the corresponding value of y. In this case, when x = 0:
y = 2(0) + 10
y = 0 + 10
y = 10
Repeat steps 2 and 3 with different values of x to find more points on the graph.
For example, when x = 1:
y = 2(1) + 10
y = 2 + 10
y = 12
When x = -1:
y = 2(-1) + 10
y = -2 + 10
y = 8
Plot the points (0, 10), (1, 12), (-1, 8), and any additional points you find on the graph.
Connect the points with a straight line. This line represents the graph of the equation y = 2x + 10.
The equation y = 2x + 10 represents a linear relationship where y depends on the value of x. The coefficient 2 represents the slope of the line, and the constant term 10 represents the y-intercept, which is the value of y when x is 0.