Question

The​ point-slope form of the equation of a nonvertical line with slope, m, that passes through the point (x1,y1) is...?

Answer 1

Answer:

  b. y-y1 = m(x-x1)

Step-by-step explanation:

It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.

• slope-intercept form: y = mx + b
• point-slope form: y -y1 = m(x -x1)
• two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
• intercept form: x/a +y/b = 1
• standard form: ax +by = c
• general form: ax +by +c = 0

Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.