Answer: y = 1/4 x – 4
OR y = x/4 –4
m is the slope. b is the y-intercept.
Without numbers on the x and y axis, it may not be correct. But assuming a normal scale, the slope is positive 1/4 and the y-intercept is -4
Step-by-step explanation: To find the slope, m, determine "rise over run"
Look for places where the graphed line crosses the grid at intersections. There seems to be such places at (–4,–5), (0,–4) and (4,–3)
The "rise" is the difference in y-values. Here, they increase by 1.
The "run" is the difference in x-values. Here they increase by 4.
So the slope is 1/4. Put that in place of m.
The graphed line crosses the y-axis at –4
That is the y-intercept. Use -4 in the place of b
Keep the y and x; substitute the values for m and b we found.
y = 1/4 x – 4
OR
y = x/4 – 4 This makes it clear that x is not in the denominator of the fraction, 1/4, and in calculations with given coordinates, the value of x will be divided by 4.
