How can you convert point-slope form to slope-intercept form?

To convert a linear equation from point-slope form to slope-intercept form, you need to simplify the equation and isolate the y-variable. The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line. To convert this to slope-intercept form, you need to rearrange the equation to solve for y. Start by distributing the slope m to the x term, which gives you y - y1 = mx - mx1. Then, move the mx1 term to the right side of the equation by adding it to both sides, resulting in y = mx + (y1 - mx1). Finally, simplify the equation by rearranging the terms in ascending order, obtaining the slope-intercept form y = mx + b, where b represents the y-intercept.

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