The slope-intercept form of a line is expressed with the equation:
y = mx + b
Where:
- y is the dependent variable (the value of y for given x)
- m represents the slope of the line
- x is the independent variable
- b is the y-intercept (the value of y when x is 0)
In this case, the slope m is given as 4, and the y-intercept b is given as 0.5. We can now substitute these values into the slope-intercept formula:
y = 4x + 0.5
This equation tells us that for every unit increase in x, y increases by 4. Additionally, the point where this line crosses the y-axis is at 0.5, which means that when x is 0, y will be 0.5.
Thus, the complete equation of the line with a slope of 4 and a y-intercept of 0.5 is y = 4x + 0.5.