Point slope form homework

Point slope form Point-slope form is one of the more commonly used forms of a linear equation, and has the following structure: y - y 1 = m (x - x 1), where m is the slope of the line, (x 1, y 1) is a point on the line, and x and y are variables representing other points on the line.

One of the drawbacks of point-slope form is that it cannot be used to represent the equation of a vertical line, since vertical lines have undefined slopes. Other commonly used forms include slope-intercept form and standard form. Slope-intercept form is the most commonly used form for the equation of a line, and is expressed as

We need both points in order to calculate the slope, but only one of the points to write the linear equation. In the example above, we used the point (3, 7) to write the linear equation, but we also could have used (-5, 3), in which case the equation of the line would be expressed as:

Notice that point-slope form is more or less a rearranged form of the slope formula. The reason we use x and y instead of x2 and y2 is that in the slope formula, we were solving for m by using two points, but hwen we are using point-slope form, we are writing a linear equation, so x and y need to be there in the final equation.