Question

Use point-slope form to write the equation of a line that passes through the point left bracket, minus, 13, comma, 15, right bracket(−13,15) with slope 11.

Answer 1

The point-slope form of a linear equation is given by:

y - y₁ = m(x - x₁)

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

Using the given point (-13,15) and slope 11, we can substitute these values into the point-slope form:

y - 15 = 11(x - (-13))

Simplifying:

y - 15 = 11(x + 13)

Expanding the parentheses:

y - 15 = 11x + 143

Adding 15 to both sides of the equation:

y = 11x + 158

Therefore, the equation of the line in point-slope form is y = 11x + 158.