To find the equation of a line given the y-intercept and slope, we can use the slope-intercept form of a linear equation, which is:
y = mx + b
In this equation:
- y represents the dependent variable (output),
- x represents the independent variable (input),
- m is the slope of the line, and
- b is the y-intercept.
Given that:
- The slope (m) is 1, and
- The y-intercept (b) is 3.
We can substitute these values into the slope-intercept formula:
y = 1x + 3 or simply y = x + 3.
Therefore, the equation of the line with a y-intercept of 3 and a slope of 1 is:
y = x + 3
This line will cross the y-axis at the point (0, 3) and will rise one unit up for every unit it moves to the right, reflecting the slope of 1.