Final answer:
The missing value from the equation of the line that passes through points (0, -7) and (2, -1) is the slope of the line, which is 3. Hence, the correct equation is y = 3x - 7.
Step-by-step explanation:
The equation of the line that passes through points (0, -7) and (2, -1) can be determined by finding the slope of the line and using the point-slope form of the equation.
First, calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points.
m = (-1 - (-7)) / (2 - 0) = 6 / 2 = 3
Now we know the slope is 3, and the line crosses the y-axis at -7, which is the y-intercept. Thus, the equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept.
The complete equation of the line is y = 3x - 7.
Hence, the missing value from the equation y = x - 7 is the multiplier of x, which should be the slope of the line, which is 3.