Question

Write an equation in point slope form of the line that passes through the two given points. Use the first point to write the equation (4,7) and (5,1)

Answer 1

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

y - y₁ = m(x - x₁),

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

First, let's find the slope of the line using the given points (4,7) and (5,1). The slope (m) can be calculated as:

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 7) / (5 - 4)
m = -6 / 1
m = -6

Now we can use the point-slope form with the slope we found:

y - 7 = -6(x - 4)

Simplifying this equation will yield the solution in point-slope form.