Question

Use point-slope form to write the equation of a line that passes through the point (−13,15) with slope 11.

Answer 1

To write the equation of a line using point-slope form, plug the values of the given point and slope into the equation y - y1 = m(x - x1), then simplify.

Step-by-step explanation:

To write the equation of a line using point-slope form, we need the coordinates of a point on the line and the slope.

The given point is (-13,15) and the slope is 11.

The point-slope form of a line is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Substituting the values into the equation, we get:

y - 15 = 11(x + 13)

Now, we can simplify the equation to get the final answer:

y - 15 = 11x + 143

y = 11x + 158