Write an equation of the line that satisfies the given conditions.

Question

Write an equation of the line that satisfies the given conditions. Give the equation ​(a) in​ slope-intercept form and ​(b) in standard form.

m= -5/12,(-6,12)

Answer 1

(-6, 12) with slope -5/12

y-12 = (-5/12)(x+6) in point slope form

12y -144 =-5x -30

5x +12y = 114 in standard form

y = (-5/12)x + 9.5 in slope intercept form

Answer 2

y - 12 = (-5/12)(x - (-6))

y - 12 = (-5/12)x - 5/2

Solve for y to get slope-intercept form. Put the equation in the form Ax + By = C to get standard form.