To write the equation of a line in slope-intercept form, we can use the formula:
y = mx + b
Where:
- y is the dependent variable (the value we’re trying to find).
- m is the slope of the line.
- x is the independent variable.
- b is the y-intercept (the point where the line crosses the y-axis).
In your case, the slope (m) is 3 and the y-intercept (b) is 2. Plugging these values into the slope-intercept formula gives us:
y = 3x + 2
This equation indicates that for every unit increase in x, the value of y increases by 3 (the slope), and when x is 0, y equals 2 (the y-intercept).
Thus, the final equation of the line is:
y = 3x + 2
You can use this equation to find the value of y for any given value of x. Enjoy graphing the line or using it in your calculations!