Final answer:
The equation of the line with a slope of -13 and passing through the point (1,13) is y = -13x + 26.
Step-by-step explanation:
To find the equation of the line with slope m=-13 passing through the point (1,13), one can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
where (x1, y1) is the point the line passes through and m is the slope. Plugging in the given values gives us:
y - 13 = -13(x - 1)
Expanding this equation:
y - 13 = -13x + 13
Adding 13 to both sides to solve for y:
y = -13x + 26
This is the equation of the line in slope-intercept form.