The table represents a question x:-10,-5,10,15, and y:8,7,4,3 which equation shows how (-10,8) can be used to write the equation of the line in point slope form

Answer 1

To write the equation of a line in point-slope form, we need to use the following formula:

y - y₁ = m(x - x₁)

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

Given the point (-10, 8), we can see that x₁ = -10 and y₁ = 8.

To find the slope (m), we can use the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Choosing any other point on the line, let's use (10, 4). We can substitute the coordinates into the formula to find the slope:

m = (4 - 8) / (10 - (-10))
= -4 / 20
= -1/5

Now, we have the point (-10, 8) and the slope m = -1/5. We can substitute these values into the point-slope form equation:

y - 8 = (-1/5)(x - (-10))

Simplifying:

y - 8 = (-1/5)(x + 10)

Thus, the equation of the line in point-slope form using the point (-10, 8) is:

y - 8 = (-1/5)(x + 10)