Question

Which equation does the graph below represent? A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 20 to positive 20 in increments of 4 for each grid line. A line is shown passing through the ordered pairs negative 4, negative 16 and 0, 0 and 4, 16. y = fraction 1 over 4 + x y = fraction 1 over 4x y = 4 + x y = 4x

Answer 1

Answer:

y = 4x

Step-by-step explanation:

Points on the graph:

• (-4, -16), (0,0), (4, 16)

Slope intercept form:

• y = mx + b

Working out slope using two of the points:

• m= (y2-y1)/(x2-x1)
• m= (0- (-16))/(0- (-4))
• m= 16/4
• m= 4

The equation is now:

• y = 4x + b

Using one of the points to find b:

• -16 = 4*(-4) +b
• -16 = -16 + b
• b = 0

So the final form is:

• y = 4x

Correct answer choice is the last one