A line has a slope of -5 and passes through the point (1,-9) write its equation in slope intercept form
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope of the line is -5, we can substitute -5 for m in the equation.
y = -5x + b
To find the value of b, we can substitute the coordinates of the given point (1,-9) into the equation.
-9 = -5(1) + b
Simplifying, we have:
-9 = -5 + b
Adding 5 to both sides, we get:
-4 = b
Now we can substitute the value of b back into the equation:
y = -5x - 4
Therefore, the equation of the line with a slope of -5 and passing through the point (1,-9) is y = -5x - 4.