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1. The equation of the line that passes through the point  (-5, 4) and (1, -2) is; C) y – 4 = -(x + 5)

   What is the Point-slope form?

   The equation of the straight line has its slope and given point.

   If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

   y-y₁ = m(x-x₁)

   Where x₁ – x coordinate, y₁ – y coordinate, m – slope

   Point (-5, 4) and (1, -2)

   Then Slope m = (-2 – 4)/(1 + 5)

   m = -6/6 = -1

   Now Write the equation as;

   y – 4 =  -1(x + 5)

   Hence, the equation of the line is; C) y – 4 = -(x + 5)

   Learn more about equations here;

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