Answer:
In the linear function equation y = -7x + 1, the value of m (the slope of the line) is -7. The slope of a line represents the rate at which the y-value changes as the x-value changes. In this case, for every unit increase in the x-value, the y-value decreases by 7 units. Therefore, the function has a rate of -7.
To find the slope of a line from a linear function equation, you can use the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, we can choose any two points on the line and substitute their coordinates into the formula to find the slope. For example, if we choose the points (1, -6) and (2, -13), we get:
m = (-13 - (-6)) / (2 - 1) = -7
Alternatively, we can use the fact that the slope of a line is equal to the coefficient of the x-term in the linear function equation. In this case, the coefficient of the x-term is -7, so the slope of the line is also -7.
Explanation: