63. Write the slope-intercept form of an equation of the line
through the points at (2,-3) and (-1, 4).

y = - x +

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (- 1, 4)

m = = = - , thus

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 4), then

4 = + c ⇒ c = 4 - =

y = - x + ← equation of line