The slope of the line is . When the point (7, –4) is used, the point-slope form of the line is . The slope-intercept form of the line is .

Question

Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.

 

Answer 1

slope = (3+4)/(-1-7) = -7/8 for a line through points (-1,3) and (7,-4)

y+4 = (-7/8)(x-7)

or use either point to get

y-3 = (-7/8)(x+1) in point slope form

y= (-7/8)x - 7/8 +3

y = (-7/8)x + 17/8 in slope intercept form