Final answer:
To convert the equation from point-slope form to slope-intercept form, distribute the 4 to the terms inside the parentheses and then add 1 to both sides of the equation to isolate y as 4x - 7.
Step-by-step explanation:
To convert the equation from point-slope form to slope-intercept form, we need to solve for y. The equation (y - 1) = 4(x - 2) is already in point-slope form, where (h, k) represents the coordinates of a point on the line and m represents the slope. To convert it to slope-intercept form, we need to isolate y on one side of the equation.
First, distribute the 4 to the terms inside the parentheses: y -1 = 4x - 8.
Then, add 1 to both sides of the equation to isolate y: y = 4x - 7.