Answer:
y = -5x - 3
Explanation:
The slope-intercept form og an equation is y = mx + b, where m is the slope and b is the y-(the value of y when x is zero).
We are given the slope, m, as - 5
y = -5x + b
We need a value of b that will shift the line so that it intersects (-2,7), Find b by entering the point into the equation:
y = -5x + b
7 = -5*-2 + b for (-2,7)
b = -3
The equation is y = -5x - 3
See the attached graph.