To write the equation of a line, you can use the slope-intercept form, which is expressed as:
y = mx + b
In this equation:
- y is the dependent variable (output).
- x is the independent variable (input).
- m represents the slope of the line.
- b signifies the y-intercept, which is the point where the line crosses the y-axis.
In your case, the slope m is 5, and the y-intercept b is 3. Plugging these values into the slope-intercept form, we get:
y = 5x + 3
This equation indicates that for every unit increase in x, y increases by 5. Additionally, when x is 0, the value of y will be 3, showing where the line crosses the y-axis.
In summary, the equation of the line with a slope of 5 and a y-intercept of 3 is y = 5x + 3.