Answer:
y = -1/2x - 11/2
Explanation:
Using slope intercept form y = mx + b, to determine the equation, first count the rise(vertical or change in y), and run(horizontal or change in x) of the line.
m is the slope, b is the y-intercept which will remain when x is 0 as this will cancel out the m.
Be careful when determining the slope, and pay attention to the steps(count) of the x, and y axis.
As this graph measures a line with a negative slope passing through the y axis at -5 1/2 → -11/2, with a step of 1, we can count the squares normally to determine the slope.
So since we know that this line has two obvious points (-5,-3) and (1,-6) we can use the equation for slope to measure it's steepness.
m = y2-y1/x2-x1
with (x1,y1) being the first point, and (x2,y2) being the second point.
So: (negative minus a negative makes a positive)
m = -6-(-3)/1-(-5) = -6 + 3/ 1 + 5 = -3/6 = -1/2.
Since m = -1/2, and b = -11/2, the line must be y = -1/2x - 11/2.