Final answer:
The equation of the line with a slope of -5 that passes through the point (7,9) is y = -5x + 44. This is derived using the point-slope form and simplifying to get the slope-intercept form of the equation.
Step-by-step explanation:
To find the equation of the line with a slope of -5 that passes through the point (7,9), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in the given values, we have y - 9 = -5(x - 7).
Now solve for y:
- y - 9 = -5x + 35
- Add 9 to both sides to get y by itself:
- y = -5x + 35 + 9
- y = -5x + 44
So, the equation of the line is y = -5x + 44, which corresponds to option A.