Answer: y = -3x + 5
Explanation:
We are given that the line passes through the point (1,2) and has a slope of -3. To find the y-intercept, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where (x1, y1) is the point the line passes through.
Substituting the values we have:
y - 2 = -3(x - 1)
Expanding the brackets and rearranging:
y - 2 = -3x + 3
y = -3x + 5
Therefore, the equation of the line is y = -3x + 5, in slope-intercept form.