Use point-slope form to write the equation of a line that passes through the point (14,-17) with slope -2

Answer 1

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Given that the point is (14, -17) and the slope is -2, the equation of the line in point-slope form is:

y - (-17) = -2(x - 14)

Simplifying,

y + 17 = -2x + 28

Rearranging the equation,

y = -2x + 11

Therefore, the equation of the line is y = -2x + 11 in slope-intercept form.