Answer: The equation y + 6 = 3/4 (x + 4) can be solved for y to find the corresponding graph:
First, isolate x by subtracting 4 from both sides:
y + 6 - 6 = 3/4 (x + 4) - 6
y = -6 + 3/4 (x + 4)
Next, isolate y by dividing both sides by 3/4:
y = -6 + 3/4 (x + 4) ÷ (3/4)
y = -6 + (x + 4)
y = x - 2 + 10
This equation represents a line with a slope of 1 and a y-intercept of 10 - 2 = 8. The graph of this line is a line that passes through the points (0, 8) and (1, 9).
Explanation: