To find the equation of a line given the y-intercept and the slope, you can use the slope-intercept form of the equation:
y = mx + b
In this formula, m represents the slope of the line and b represents the y-intercept.
From the question, we know:
- The slope (m) is 1.
- The y-intercept (b) is 3.
Substituting these values into the slope-intercept form gives us:
y = 1x + 3
Since 1x is simply x, we can rewrite the equation as:
y = x + 3
This is the equation of the line with a slope of 1 and a y-intercept of 3. It indicates that for every unit increase in x, y increases by 1, and when x is 0, y is equal to 3.