Answer:
[tex]y=-\frac{3}{2}x - 9/2[/tex]
Step-by-step explanation:
The slope - intercept equation is
[tex]y = mx + b[/tex]
where m = slope
and b = intercept
The line intercepts the y axis in -9/2, so b = -9/2
To calculate the slope we can take two points where the line passes:
p1= (-3, 0)
p2=(-1, -3)
the slope will be a fraction with the numerator being the difference in the y coordinates and the denominator the difference in the x coordinates
[tex]m=\frac{-3-0}{-1-(-3)}=\frac{-3}{2}[/tex]
replacing the values for m and b in the slope - intercept equation:
[tex]y=-\frac{3}{2}x - 9/2[/tex]
