Write an equation in point-slope form for the given line.

Question

Two points on the graph are (-6,5) and (5,4)

Answer 1

The point-slope form of an equation can be written as:

y - y1 = m(x - x1)

where (x1, y1) represents a point on the line and m represents the slope of the line.

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Using the given points (-6,5) and (5,4), we can substitute their x and y values into the slope formula:

m = (4 - 5) / (5 - (-6))
= (-1) / 11

Now, let's choose one of the points, say (-6,5), and substitute its x and y values into the point-slope form equation:

y - 5 = (-1/11)(x - (-6))

Simplifying the equation:

y - 5 = (-1/11)(x + 6)

This is the equation in point-slope form for the given line.