Question

Write in slope-intercept form an equation of the line that passes through the given points. (−9, 5), (−3, 3)

Answer 1

Answer:

x+3y-2=0

Step-by-step explanation:

slope = $\frac{y_2-y_1}{x_2-x_1}$=$\frac{3-5}{-3+9}$=$\frac{-2}{6}$=-1/3

equation of line in slope intercept form

y=mx+c

y=$\frac{-1}{3}$x+c

It passes through (-3,3)

3=$\frac{-1*-3}{3}$+c

c=2

Therefore equation of line is y=$\frac{-1}{3}$x+2

                                              x+3y-2=0