Write an equation for the line that passes through (6,2) and has a slope of . Write the equation in standard form, slope-intercept form, and point-slope form.

Question

Write an equation for the line that passes through (6,2) and has a slope of  . Write the equation in standard form, slope-intercept form, and point-slope form.

Answer 1

y=mx + b where m=slope and b = y intercept

plug in the point to solve for b

2=m(6) + b

b=2-6m

y= mx +2 -6m

plug the value of the slope for m to get the unique equation

and

if m=0

y=2 is the line

if m= infinity

x=6 is the line