Answer:
[tex]y=-\frac{5}{2}x-16[/tex]
Step-by-step explanation:
Slope intercept form is a way of expressing a line in the format;
[tex]y=mx+b[/tex]
Where (m) is the slope of the line, and (b) is the y-intercept. One can solve for (b) by substituting in a point on the line and using inverse operations to solve.
[tex]y=mx+b\\\\m=-\frac{5}{2}\\\\y=-\frac{5}{2}x+b[/tex]
Substitute in point (-6, -1)
[tex]-1=-\frac{5}{2}(-6)+b\\\\-1=15+b\\\\-15\\\\-16=b[/tex]
[tex]y=-\frac{5}{2}x-16[/tex]
