Question

Write an equation in point-slope form of the line that passes through the point (– 1,5) and has a slope of 4/9

Answer 1

y - 5 = (4/9)(x + 1)

Explanation:

The point-slope form of a linear equation is:

y - y₁ = m(x - x₁)

Where (x₁, y₁) is a point on the line, and m is the slope. Given the point (-1, 5) and a slope of 4/9, you can plug these values into the equation:

y - 5 = (4/9)(x - (-1))

Answer 2

`y-5=\cfrac{4}{9}(x+1)`

Explanation:

In order to write a point-slope equation, use the formula:

`y-y_1=m(x-x_1)`

Substitute the data:

`y-5=\cfrac{4}{9}(x-(-1)`

Simplify:

`y-5=\cfrac{4}{9}(x+1)` {answer}