Answer:
The answer is
[tex]y = - 7x - 2[/tex]
Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
To find the equation of a line given a point and slope we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question
Slope = - 7
The point is ( - 1 , 5)
So the equation of the line is
[tex]y - 5 = - 7(x + 1) \\ y - 5 = - 7x - 7 \\ y = - 7x - 7 + 5[/tex]
We have the final answer as
[tex]y = - 7x - 2[/tex]
Hope this helps you
