Answer:
y = -2x - 7
Explanation:
The slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. In order to get the equation, we must find the slope and the y-intercept.
The slope formula is rise over run, or (y1-y2)/(x1-x2). Take two points on the graph: (-4,1) and (-2,-3). The difference in the y-values is -4 (the sign matters). The difference in the x-values is 2. The slope would be -4/2 which is just -2. So, m = -2.
The y-intercept is just when x = 0. In this case, y = -7 when x = 0. In other words, the line intersects with the y-axis at y = -7. Thus, b = -7.