Question

Write the point-slope form of an equation of the line that passes through (4, -3) and (2, 1).

Answer 1

y + 3 = -2(x - 4)

Explanation:

(x₁,y₁) = (4 , -3)

(x₂,y₂) = (2 , 1)

`Slope =(y_(2)_y_(1))/(x_(2)-x_(1))\\\\=(1-[-3])/(2-4)\\\\=(1+3)/(-2)\\\\=(4)/(-2)\\\\= -2\\`

Point slope form: y - y1 = m(x -x1)

y - [-3] = -2(x - 4)

y + 3 = -2(x - 4)