To write the equation of a line first find its slope, use the next formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]m=\frac{-1-3}{3-(-3)}=\frac{-4}{6}=-\frac{2}{3}[/tex]
slope: -2/3
Identify the y-intercept: y-value when the line crosses the y-axis:
y-intercept: 1
Write the equation in slope-intercept form (y=mx+b, m is the slope, b is the y-intercept):
[tex]y=-\frac{2}{3}x+1[/tex]
Answer: y=-2/3 x+1
