Answer:
A. y = 4/3x - 4
Explanation:
Equation of line is given as y = mx + c, where m is the gradient/slope and c is the y-intercept.
Since line passes through y-axis at -4, equation of line is y = mx - 4.
So C and D are out.
Now we have to find the gradient of the line.
Formula for finding gradient is given as y2-y1 ÷ x2-x1, where x and y are the coordinates of the points.
From the graph, we can use the coordinates where the line passes through each axis. The coordinates are (3,0) and (0,-4).
Gradient = (-4-0) ÷ (0-3) = 4/3
Hence equation of line is y = 4/3x - 4.