The equation of this line is: y = -3/2x + 1.5.
Since we already have one part of the equation of the line, the slope, we can make the equation with what we have. In slope-intercept form, knowing the value of the slope, the equation becomes:
y = -[tex] \frac{3}{2} [/tex]x + b
Now we can input the values of x and y from the point we know is on the line. This will allow us to find the value of b. Doing this, we get:
-6 = -[tex] \frac{3}{2} [/tex] * 5 + b
-6 = -7.5 + b
b = 1.5
Knowing this, the equation of this line is: y = -3/2x + 1.5.
