Final answer:
To write the equation, we use the point-slope form of a linear equation and substitute the given values. The equation of the line is y = 1/10x - 17/10.
Step-by-step explanation:
To write an equation in slope-intercept form of the line passing through (2, -3) and with a slope of 1/10, we can use the point-slope form of a linear equation.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Using the point-slope form, we have y - y1 = m(x - x1).
Substituting the values, we get y - (-3) = 1/10(x - 2).
Simplifying further, we get y + 3 = 1/10x - 1/5.
Combining like terms, we get y = 1/10x - 1/5 - 3.
Finally, simplifying the equation, we have y = 1/10x - 17/10.
Learn more about Writing equations in slope-intercept form of a line