Question

Use point-slope form to write the equation of a line that passes through the point left bracket, minus, 11, comma, minus, 11, right bracket(−11,−11) with slope 55.

Answer 1

The equation of the line in point-slope form that passes through the point (-11, -11) with slope 55 is y + 11 = 55(x + 11).

Step-by-step explanation:

To write the equation of a line in point-slope form, you use the formula:

y - y₁ = m(x - x₁)

where (x₁, y₁) is a point on the line and m is the slope of the line. Given the point (-11, -11) and slope 55, we can plug these values into the formula:

y - (-11) = 55(x - (-11))

Simplifying the equation, we get:

y + 11 = 55(x + 11)

Which is the required equation in point-slope form.