Final answer:
The correct method to rewrite an equation in slope-intercept form, using a given point and slope, is the point-slope formula (a). It enables you to insert the known values and rearrange the equation to the slope-intercept form.
Step-by-step explanation:
The method used to rewrite an equation in slope-intercept form, given a point and the slope, is the point-slope formula.
The slope-intercept form of a linear equation is typically represented as y = mx + b, where m represents the slope and b represents the y-intercept.
If you know a point on the line (x1, y1) and the slope m, you can plug these values into the point-slope formula, which is y - y1 = m(x - x1), and then rearrange it to solve for y to put it in the slope-intercept form.