To find the equation of a line, we can use the slope-intercept form, which is given by the formula:
y = mx + b
In this formula:
- y represents the dependent variable (the value of y on the y-axis),
- m represents the slope of the line,
- x represents the independent variable (the value of x on the x-axis),
- b represents the y-intercept (the value of y when x is 0).
In your case, the slope (m) is 23, and the y-intercept (b) is 9. Plugging these values into the slope-intercept equation gives us:
y = 23x + 9
This means for every unit you increase in x, y will increase by 23 units, starting from 9 when x is zero. Therefore, the equation of the line with a slope of 23 and a y-intercept of 9 is:
y = 23x + 9