Question

Find the equation of the line with slope m=−13 and passing through the point (1,13).

Answer 1

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.